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Finding the Fourth Proportional to 2,913.04, 4,370.64 and 2,264.32

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Solution

The fourth proportional to 2,913.04, 4,370.64 and 2,264.32 is: 3,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.04 : 4,370.64 = 2,264.32 : x
  2. Step 2: Convert to fraction form
    2,913.04/4,370.64 = 2,264.32/x
  3. Step 3: Cross multiply
    2,913.04x = 4,370.64 × 2,264.32
  4. Step 4: Simplify right side
    2,913.04x = 9,896,527.56
  5. Step 5: Solve for x
    x = 9,896,527.56/2,913.04
  6. Step 6: Final answer
    x = 3,397.32

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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.