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Finding the Fourth Proportional to 1,539.86, 2,310.10 and 444.24

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Solution

The fourth proportional to 1,539.86, 2,310.10 and 444.24 is: 666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.86 : 2,310.10 = 444.24 : x
  2. Step 2: Convert to fraction form
    1,539.86/2,310.10 = 444.24/x
  3. Step 3: Cross multiply
    1,539.86x = 2,310.10 × 444.24
  4. Step 4: Simplify right side
    1,539.86x = 1,026,237.71
  5. Step 5: Solve for x
    x = 1,026,237.71/1,539.86
  6. Step 6: Final answer
    x = 666.45

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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.