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Finding the Fourth Proportional to 1,417.67, 2,124.60 and 801.14

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Solution

The fourth proportional to 1,417.67, 2,124.60 and 801.14 is: 1,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.67 : 2,124.60 = 801.14 : x
  2. Step 2: Convert to fraction form
    1,417.67/2,124.60 = 801.14/x
  3. Step 3: Cross multiply
    1,417.67x = 2,124.60 × 801.14
  4. Step 4: Simplify right side
    1,417.67x = 1,702,102.04
  5. Step 5: Solve for x
    x = 1,702,102.04/1,417.67
  6. Step 6: Final answer
    x = 1,200.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.