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Finding the Fourth Proportional to 2,572.44, 3,548.25 and 1,785.93

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Solution

The fourth proportional to 2,572.44, 3,548.25 and 1,785.93 is: 2,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.44 : 3,548.25 = 1,785.93 : x
  2. Step 2: Convert to fraction form
    2,572.44/3,548.25 = 1,785.93/x
  3. Step 3: Cross multiply
    2,572.44x = 3,548.25 × 1,785.93
  4. Step 4: Simplify right side
    2,572.44x = 6,336,926.12
  5. Step 5: Solve for x
    x = 6,336,926.12/2,572.44
  6. Step 6: Final answer
    x = 2,463.39

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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.