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Finding the Fourth Proportional to 1,221.74, 1,825.58 and 1,002.50

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Solution

The fourth proportional to 1,221.74, 1,825.58 and 1,002.50 is: 1,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.74 : 1,825.58 = 1,002.50 : x
  2. Step 2: Convert to fraction form
    1,221.74/1,825.58 = 1,002.50/x
  3. Step 3: Cross multiply
    1,221.74x = 1,825.58 × 1,002.50
  4. Step 4: Simplify right side
    1,221.74x = 1,830,143.95
  5. Step 5: Solve for x
    x = 1,830,143.95/1,221.74
  6. Step 6: Final answer
    x = 1,497.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.