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Finding the Fourth Proportional to 2,292.96, 3,437.52 and 924.64

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Solution

The fourth proportional to 2,292.96, 3,437.52 and 924.64 is: 1,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.96 : 3,437.52 = 924.64 : x
  2. Step 2: Convert to fraction form
    2,292.96/3,437.52 = 924.64/x
  3. Step 3: Cross multiply
    2,292.96x = 3,437.52 × 924.64
  4. Step 4: Simplify right side
    2,292.96x = 3,178,468.49
  5. Step 5: Solve for x
    x = 3,178,468.49/2,292.96
  6. Step 6: Final answer
    x = 1,386.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.