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Finding the Fourth Proportional to 1,539.86, 2,307.42 and 1,045.62

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Solution

The fourth proportional to 1,539.86, 2,307.42 and 1,045.62 is: 1,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.86 : 2,307.42 = 1,045.62 : x
  2. Step 2: Convert to fraction form
    1,539.86/2,307.42 = 1,045.62/x
  3. Step 3: Cross multiply
    1,539.86x = 2,307.42 × 1,045.62
  4. Step 4: Simplify right side
    1,539.86x = 2,412,684.50
  5. Step 5: Solve for x
    x = 2,412,684.50/1,539.86
  6. Step 6: Final answer
    x = 1,566.82

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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.