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Finding the Fourth Proportional to 1,284.86, 1,925.02 and 1,242.03

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Solution

The fourth proportional to 1,284.86, 1,925.02 and 1,242.03 is: 1,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.86 : 1,925.02 = 1,242.03 : x
  2. Step 2: Convert to fraction form
    1,284.86/1,925.02 = 1,242.03/x
  3. Step 3: Cross multiply
    1,284.86x = 1,925.02 × 1,242.03
  4. Step 4: Simplify right side
    1,284.86x = 2,390,934.38
  5. Step 5: Solve for x
    x = 2,390,934.38/1,284.86
  6. Step 6: Final answer
    x = 1,860.85

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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.