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Finding the Fourth Proportional to 2,292.59, 3,438.45 and 976.10

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Solution

The fourth proportional to 2,292.59, 3,438.45 and 976.10 is: 1,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.59 : 3,438.45 = 976.10 : x
  2. Step 2: Convert to fraction form
    2,292.59/3,438.45 = 976.10/x
  3. Step 3: Cross multiply
    2,292.59x = 3,438.45 × 976.10
  4. Step 4: Simplify right side
    2,292.59x = 3,356,271.05
  5. Step 5: Solve for x
    x = 3,356,271.05/2,292.59
  6. Step 6: Final answer
    x = 1,463.96

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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.