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Finding the Fourth Proportional to 1,534.08, 2,302.74 and 1,256.88

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Solution

The fourth proportional to 1,534.08, 2,302.74 and 1,256.88 is: 1,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.08 : 2,302.74 = 1,256.88 : x
  2. Step 2: Convert to fraction form
    1,534.08/2,302.74 = 1,256.88/x
  3. Step 3: Cross multiply
    1,534.08x = 2,302.74 × 1,256.88
  4. Step 4: Simplify right side
    1,534.08x = 2,894,267.85
  5. Step 5: Solve for x
    x = 2,894,267.85/1,534.08
  6. Step 6: Final answer
    x = 1,886.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.