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Finding the Fourth Proportional to 2,288.00, 3,432.51 and 706.88

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Solution

The fourth proportional to 2,288.00, 3,432.51 and 706.88 is: 1,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.00 : 3,432.51 = 706.88 : x
  2. Step 2: Convert to fraction form
    2,288.00/3,432.51 = 706.88/x
  3. Step 3: Cross multiply
    2,288.00x = 3,432.51 × 706.88
  4. Step 4: Simplify right side
    2,288.00x = 2,426,381.25
  5. Step 5: Solve for x
    x = 2,426,381.25/2,288.00
  6. Step 6: Final answer
    x = 1,060.48

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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.