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Finding the Fourth Proportional to 1,655.47, 2,284.51 and 909.43

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Solution

The fourth proportional to 1,655.47, 2,284.51 and 909.43 is: 1,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.47 : 2,284.51 = 909.43 : x
  2. Step 2: Convert to fraction form
    1,655.47/2,284.51 = 909.43/x
  3. Step 3: Cross multiply
    1,655.47x = 2,284.51 × 909.43
  4. Step 4: Simplify right side
    1,655.47x = 2,077,601.93
  5. Step 5: Solve for x
    x = 2,077,601.93/1,655.47
  6. Step 6: Final answer
    x = 1,254.99

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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.