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Finding the Fourth Proportional to 1,713.76, 2,365.61 and 1,124.48

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Solution

The fourth proportional to 1,713.76, 2,365.61 and 1,124.48 is: 1,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.76 : 2,365.61 = 1,124.48 : x
  2. Step 2: Convert to fraction form
    1,713.76/2,365.61 = 1,124.48/x
  3. Step 3: Cross multiply
    1,713.76x = 2,365.61 × 1,124.48
  4. Step 4: Simplify right side
    1,713.76x = 2,660,081.42
  5. Step 5: Solve for x
    x = 2,660,081.42/1,713.76
  6. Step 6: Final answer
    x = 1,552.19

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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.