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Finding the Fourth Proportional to 1,798.47, 2,693.60 and 1,140.32

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Solution

The fourth proportional to 1,798.47, 2,693.60 and 1,140.32 is: 1,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.47 : 2,693.60 = 1,140.32 : x
  2. Step 2: Convert to fraction form
    1,798.47/2,693.60 = 1,140.32/x
  3. Step 3: Cross multiply
    1,798.47x = 2,693.60 × 1,140.32
  4. Step 4: Simplify right side
    1,798.47x = 3,071,546.78
  5. Step 5: Solve for x
    x = 3,071,546.78/1,798.47
  6. Step 6: Final answer
    x = 1,707.87

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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.