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Finding the Fourth Proportional to 2,875.76, 4,314.06 and 927.32

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Solution

The fourth proportional to 2,875.76, 4,314.06 and 927.32 is: 1,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.76 : 4,314.06 = 927.32 : x
  2. Step 2: Convert to fraction form
    2,875.76/4,314.06 = 927.32/x
  3. Step 3: Cross multiply
    2,875.76x = 4,314.06 × 927.32
  4. Step 4: Simplify right side
    2,875.76x = 4,000,514.12
  5. Step 5: Solve for x
    x = 4,000,514.12/2,875.76
  6. Step 6: Final answer
    x = 1,391.12

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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.