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Finding the Fourth Proportional to 2,473.98, 3,689.13 and 2,451.76

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Solution

The fourth proportional to 2,473.98, 3,689.13 and 2,451.76 is: 3,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.98 : 3,689.13 = 2,451.76 : x
  2. Step 2: Convert to fraction form
    2,473.98/3,689.13 = 2,451.76/x
  3. Step 3: Cross multiply
    2,473.98x = 3,689.13 × 2,451.76
  4. Step 4: Simplify right side
    2,473.98x = 9,044,861.34
  5. Step 5: Solve for x
    x = 9,044,861.34/2,473.98
  6. Step 6: Final answer
    x = 3,656.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.