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Finding the Fourth Proportional to 2,610.90, 3,602.14 and 1,602.18

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Solution

The fourth proportional to 2,610.90, 3,602.14 and 1,602.18 is: 2,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.90 : 3,602.14 = 1,602.18 : x
  2. Step 2: Convert to fraction form
    2,610.90/3,602.14 = 1,602.18/x
  3. Step 3: Cross multiply
    2,610.90x = 3,602.14 × 1,602.18
  4. Step 4: Simplify right side
    2,610.90x = 5,771,272.66
  5. Step 5: Solve for x
    x = 5,771,272.66/2,610.90
  6. Step 6: Final answer
    x = 2,210.45

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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.