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Finding the Fourth Proportional to 2,059.04, 3,088.56 and 760.61

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Solution

The fourth proportional to 2,059.04, 3,088.56 and 760.61 is: 1,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.04 : 3,088.56 = 760.61 : x
  2. Step 2: Convert to fraction form
    2,059.04/3,088.56 = 760.61/x
  3. Step 3: Cross multiply
    2,059.04x = 3,088.56 × 760.61
  4. Step 4: Simplify right side
    2,059.04x = 2,349,174.18
  5. Step 5: Solve for x
    x = 2,349,174.18/2,059.04
  6. Step 6: Final answer
    x = 1,140.91

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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.