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Finding the Fourth Proportional to 1,624.58, 2,437.72 and 1,039.90

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Solution

The fourth proportional to 1,624.58, 2,437.72 and 1,039.90 is: 1,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.58 : 2,437.72 = 1,039.90 : x
  2. Step 2: Convert to fraction form
    1,624.58/2,437.72 = 1,039.90/x
  3. Step 3: Cross multiply
    1,624.58x = 2,437.72 × 1,039.90
  4. Step 4: Simplify right side
    1,624.58x = 2,534,985.03
  5. Step 5: Solve for x
    x = 2,534,985.03/1,624.58
  6. Step 6: Final answer
    x = 1,560.39

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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.