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Finding the Fourth Proportional to 1,524.71, 2,103.98 and 861.63

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Solution

The fourth proportional to 1,524.71, 2,103.98 and 861.63 is: 1,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.71 : 2,103.98 = 861.63 : x
  2. Step 2: Convert to fraction form
    1,524.71/2,103.98 = 861.63/x
  3. Step 3: Cross multiply
    1,524.71x = 2,103.98 × 861.63
  4. Step 4: Simplify right side
    1,524.71x = 1,812,852.29
  5. Step 5: Solve for x
    x = 1,812,852.29/1,524.71
  6. Step 6: Final answer
    x = 1,188.98

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1.5x scale

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.