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Finding the Fourth Proportional to 1,341.12, 1,851.40 and 893.74

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Solution

The fourth proportional to 1,341.12, 1,851.40 and 893.74 is: 1,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.12 : 1,851.40 = 893.74 : x
  2. Step 2: Convert to fraction form
    1,341.12/1,851.40 = 893.74/x
  3. Step 3: Cross multiply
    1,341.12x = 1,851.40 × 893.74
  4. Step 4: Simplify right side
    1,341.12x = 1,654,670.24
  5. Step 5: Solve for x
    x = 1,654,670.24/1,341.12
  6. Step 6: Final answer
    x = 1,233.80

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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.