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Finding the Fourth Proportional to 2,925.74, 4,384.47 and 2,264.54

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Solution

The fourth proportional to 2,925.74, 4,384.47 and 2,264.54 is: 3,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.74 : 4,384.47 = 2,264.54 : x
  2. Step 2: Convert to fraction form
    2,925.74/4,384.47 = 2,264.54/x
  3. Step 3: Cross multiply
    2,925.74x = 4,384.47 × 2,264.54
  4. Step 4: Simplify right side
    2,925.74x = 9,928,818.65
  5. Step 5: Solve for x
    x = 9,928,818.65/2,925.74
  6. Step 6: Final answer
    x = 3,393.61

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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.