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Finding the Fourth Proportional to 2,898.74, 4,348.12 and 707.46

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Solution

The fourth proportional to 2,898.74, 4,348.12 and 707.46 is: 1,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.74 : 4,348.12 = 707.46 : x
  2. Step 2: Convert to fraction form
    2,898.74/4,348.12 = 707.46/x
  3. Step 3: Cross multiply
    2,898.74x = 4,348.12 × 707.46
  4. Step 4: Simplify right side
    2,898.74x = 3,076,120.98
  5. Step 5: Solve for x
    x = 3,076,120.98/2,898.74
  6. Step 6: Final answer
    x = 1,061.19

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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.