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Finding the Fourth Proportional to 1,561.47, 2,345.25 and 1,148.99

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Solution

The fourth proportional to 1,561.47, 2,345.25 and 1,148.99 is: 1,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.47 : 2,345.25 = 1,148.99 : x
  2. Step 2: Convert to fraction form
    1,561.47/2,345.25 = 1,148.99/x
  3. Step 3: Cross multiply
    1,561.47x = 2,345.25 × 1,148.99
  4. Step 4: Simplify right side
    1,561.47x = 2,694,657.07
  5. Step 5: Solve for x
    x = 2,694,657.07/1,561.47
  6. Step 6: Final answer
    x = 1,725.72

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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.