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Finding the Fourth Proportional to 2,467.60, 3,707.40 and 1,590.52

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Solution

The fourth proportional to 2,467.60, 3,707.40 and 1,590.52 is: 2,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.60 : 3,707.40 = 1,590.52 : x
  2. Step 2: Convert to fraction form
    2,467.60/3,707.40 = 1,590.52/x
  3. Step 3: Cross multiply
    2,467.60x = 3,707.40 × 1,590.52
  4. Step 4: Simplify right side
    2,467.60x = 5,896,693.85
  5. Step 5: Solve for x
    x = 5,896,693.85/2,467.60
  6. Step 6: Final answer
    x = 2,389.65

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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.