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Finding the Fourth Proportional to 2,583.68, 3,565.51 and 1,464.57

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Solution

The fourth proportional to 2,583.68, 3,565.51 and 1,464.57 is: 2,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.68 : 3,565.51 = 1,464.57 : x
  2. Step 2: Convert to fraction form
    2,583.68/3,565.51 = 1,464.57/x
  3. Step 3: Cross multiply
    2,583.68x = 3,565.51 × 1,464.57
  4. Step 4: Simplify right side
    2,583.68x = 5,221,935.32
  5. Step 5: Solve for x
    x = 5,221,935.32/2,583.68
  6. Step 6: Final answer
    x = 2,021.13

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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.