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Finding the Fourth Proportional to 1,524.61, 2,102.85 and 992.50

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Solution

The fourth proportional to 1,524.61, 2,102.85 and 992.50 is: 1,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.61 : 2,102.85 = 992.50 : x
  2. Step 2: Convert to fraction form
    1,524.61/2,102.85 = 992.50/x
  3. Step 3: Cross multiply
    1,524.61x = 2,102.85 × 992.50
  4. Step 4: Simplify right side
    1,524.61x = 2,087,078.63
  5. Step 5: Solve for x
    x = 2,087,078.63/1,524.61
  6. Step 6: Final answer
    x = 1,368.93

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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.