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Finding the Fourth Proportional to 2,976.92, 4,463.58 and 1,417.40

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Solution

The fourth proportional to 2,976.92, 4,463.58 and 1,417.40 is: 2,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.92 : 4,463.58 = 1,417.40 : x
  2. Step 2: Convert to fraction form
    2,976.92/4,463.58 = 1,417.40/x
  3. Step 3: Cross multiply
    2,976.92x = 4,463.58 × 1,417.40
  4. Step 4: Simplify right side
    2,976.92x = 6,326,678.29
  5. Step 5: Solve for x
    x = 6,326,678.29/2,976.92
  6. Step 6: Final answer
    x = 2,125.24

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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.