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Finding the Fourth Proportional to 1,670.54, 2,307.03 and 1,341.14

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Solution

The fourth proportional to 1,670.54, 2,307.03 and 1,341.14 is: 1,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.54 : 2,307.03 = 1,341.14 : x
  2. Step 2: Convert to fraction form
    1,670.54/2,307.03 = 1,341.14/x
  3. Step 3: Cross multiply
    1,670.54x = 2,307.03 × 1,341.14
  4. Step 4: Simplify right side
    1,670.54x = 3,094,050.21
  5. Step 5: Solve for x
    x = 3,094,050.21/1,670.54
  6. Step 6: Final answer
    x = 1,852.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.