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Finding the Fourth Proportional to 1,487.64, 2,054.88 and 1,279.92

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Solution

The fourth proportional to 1,487.64, 2,054.88 and 1,279.92 is: 1,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.64 : 2,054.88 = 1,279.92 : x
  2. Step 2: Convert to fraction form
    1,487.64/2,054.88 = 1,279.92/x
  3. Step 3: Cross multiply
    1,487.64x = 2,054.88 × 1,279.92
  4. Step 4: Simplify right side
    1,487.64x = 2,630,082.01
  5. Step 5: Solve for x
    x = 2,630,082.01/1,487.64
  6. Step 6: Final answer
    x = 1,767.96

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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.