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Finding the Fourth Proportional to 2,264.64, 3,125.64 and 1,320.54

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Solution

The fourth proportional to 2,264.64, 3,125.64 and 1,320.54 is: 1,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.64 : 3,125.64 = 1,320.54 : x
  2. Step 2: Convert to fraction form
    2,264.64/3,125.64 = 1,320.54/x
  3. Step 3: Cross multiply
    2,264.64x = 3,125.64 × 1,320.54
  4. Step 4: Simplify right side
    2,264.64x = 4,127,532.65
  5. Step 5: Solve for x
    x = 4,127,532.65/2,264.64
  6. Step 6: Final answer
    x = 1,822.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.