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Finding the Fourth Proportional to 2,558.64, 3,531 and 1,510.32

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Solution

The fourth proportional to 2,558.64, 3,531 and 1,510.32 is: 2,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.64 : 3,531 = 1,510.32 : x
  2. Step 2: Convert to fraction form
    2,558.64/3,531 = 1,510.32/x
  3. Step 3: Cross multiply
    2,558.64x = 3,531 × 1,510.32
  4. Step 4: Simplify right side
    2,558.64x = 5,332,939.92
  5. Step 5: Solve for x
    x = 5,332,939.92/2,558.64
  6. Step 6: Final answer
    x = 2,084.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.