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Finding the Fourth Proportional to 1,708.94, 2,562.50 and 885.17

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Solution

The fourth proportional to 1,708.94, 2,562.50 and 885.17 is: 1,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.94 : 2,562.50 = 885.17 : x
  2. Step 2: Convert to fraction form
    1,708.94/2,562.50 = 885.17/x
  3. Step 3: Cross multiply
    1,708.94x = 2,562.50 × 885.17
  4. Step 4: Simplify right side
    1,708.94x = 2,268,256.74
  5. Step 5: Solve for x
    x = 2,268,256.74/1,708.94
  6. Step 6: Final answer
    x = 1,327.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.