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Finding the Fourth Proportional to 2,458.04, 3,686.98 and 609.16

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Solution

The fourth proportional to 2,458.04, 3,686.98 and 609.16 is: 913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.04 : 3,686.98 = 609.16 : x
  2. Step 2: Convert to fraction form
    2,458.04/3,686.98 = 609.16/x
  3. Step 3: Cross multiply
    2,458.04x = 3,686.98 × 609.16
  4. Step 4: Simplify right side
    2,458.04x = 2,245,960.74
  5. Step 5: Solve for x
    x = 2,245,960.74/2,458.04
  6. Step 6: Final answer
    x = 913.72

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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.