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Finding the Fourth Proportional to 2,477.16, 3,714.12 and 1,015.92

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Solution

The fourth proportional to 2,477.16, 3,714.12 and 1,015.92 is: 1,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.16 : 3,714.12 = 1,015.92 : x
  2. Step 2: Convert to fraction form
    2,477.16/3,714.12 = 1,015.92/x
  3. Step 3: Cross multiply
    2,477.16x = 3,714.12 × 1,015.92
  4. Step 4: Simplify right side
    2,477.16x = 3,773,248.79
  5. Step 5: Solve for x
    x = 3,773,248.79/2,477.16
  6. Step 6: Final answer
    x = 1,523.22

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Why These Related Problems?

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