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Finding the Fourth Proportional to 1,140.08, 1,716.29 and 1,038.02

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Solution

The fourth proportional to 1,140.08, 1,716.29 and 1,038.02 is: 1,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.08 : 1,716.29 = 1,038.02 : x
  2. Step 2: Convert to fraction form
    1,140.08/1,716.29 = 1,038.02/x
  3. Step 3: Cross multiply
    1,140.08x = 1,716.29 × 1,038.02
  4. Step 4: Simplify right side
    1,140.08x = 1,781,533.47
  5. Step 5: Solve for x
    x = 1,781,533.47/1,140.08
  6. Step 6: Final answer
    x = 1,562.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.