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Finding the Fourth Proportional to 2,325.69, 3,488.53 and 1,460.61

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Solution

The fourth proportional to 2,325.69, 3,488.53 and 1,460.61 is: 2,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.69 : 3,488.53 = 1,460.61 : x
  2. Step 2: Convert to fraction form
    2,325.69/3,488.53 = 1,460.61/x
  3. Step 3: Cross multiply
    2,325.69x = 3,488.53 × 1,460.61
  4. Step 4: Simplify right side
    2,325.69x = 5,095,381.80
  5. Step 5: Solve for x
    x = 5,095,381.80/2,325.69
  6. Step 6: Final answer
    x = 2,190.91

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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.