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Finding the Fourth Proportional to 1,612.64, 2,417.42 and 571.97

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Solution

The fourth proportional to 1,612.64, 2,417.42 and 571.97 is: 857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.64 : 2,417.42 = 571.97 : x
  2. Step 2: Convert to fraction form
    1,612.64/2,417.42 = 571.97/x
  3. Step 3: Cross multiply
    1,612.64x = 2,417.42 × 571.97
  4. Step 4: Simplify right side
    1,612.64x = 1,382,676.77
  5. Step 5: Solve for x
    x = 1,382,676.77/1,612.64
  6. Step 6: Final answer
    x = 857.40

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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.