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Finding the Fourth Proportional to 2,970.65, 4,458.68 and 1,585.17

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Solution

The fourth proportional to 2,970.65, 4,458.68 and 1,585.17 is: 2,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.65 : 4,458.68 = 1,585.17 : x
  2. Step 2: Convert to fraction form
    2,970.65/4,458.68 = 1,585.17/x
  3. Step 3: Cross multiply
    2,970.65x = 4,458.68 × 1,585.17
  4. Step 4: Simplify right side
    2,970.65x = 7,067,757.85
  5. Step 5: Solve for x
    x = 7,067,757.85/2,970.65
  6. Step 6: Final answer
    x = 2,379.20

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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.