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Finding the Fourth Proportional to 2,360.52, 3,538.76 and 898.65

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Solution

The fourth proportional to 2,360.52, 3,538.76 and 898.65 is: 1,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.52 : 3,538.76 = 898.65 : x
  2. Step 2: Convert to fraction form
    2,360.52/3,538.76 = 898.65/x
  3. Step 3: Cross multiply
    2,360.52x = 3,538.76 × 898.65
  4. Step 4: Simplify right side
    2,360.52x = 3,180,102.18
  5. Step 5: Solve for x
    x = 3,180,102.18/2,360.52
  6. Step 6: Final answer
    x = 1,347.20

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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.