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Finding the Fourth Proportional to 2,382.76, 3,574.14 and 651.52

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Solution

The fourth proportional to 2,382.76, 3,574.14 and 651.52 is: 977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.76 : 3,574.14 = 651.52 : x
  2. Step 2: Convert to fraction form
    2,382.76/3,574.14 = 651.52/x
  3. Step 3: Cross multiply
    2,382.76x = 3,574.14 × 651.52
  4. Step 4: Simplify right side
    2,382.76x = 2,328,623.69
  5. Step 5: Solve for x
    x = 2,328,623.69/2,382.76
  6. Step 6: Final answer
    x = 977.28

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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.