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Finding the Fourth Proportional to 1,352.81, 1,865.18 and 1,129.06

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Solution

The fourth proportional to 1,352.81, 1,865.18 and 1,129.06 is: 1,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.81 : 1,865.18 = 1,129.06 : x
  2. Step 2: Convert to fraction form
    1,352.81/1,865.18 = 1,129.06/x
  3. Step 3: Cross multiply
    1,352.81x = 1,865.18 × 1,129.06
  4. Step 4: Simplify right side
    1,352.81x = 2,105,904.79
  5. Step 5: Solve for x
    x = 2,105,904.79/1,352.81
  6. Step 6: Final answer
    x = 1,556.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.