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Finding the Fourth Proportional to 1,749.18, 2,624.68 and 709.95

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Solution

The fourth proportional to 1,749.18, 2,624.68 and 709.95 is: 1,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.18 : 2,624.68 = 709.95 : x
  2. Step 2: Convert to fraction form
    1,749.18/2,624.68 = 709.95/x
  3. Step 3: Cross multiply
    1,749.18x = 2,624.68 × 709.95
  4. Step 4: Simplify right side
    1,749.18x = 1,863,374.89
  5. Step 5: Solve for x
    x = 1,863,374.89/1,749.18
  6. Step 6: Final answer
    x = 1,065.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.