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Finding the Fourth Proportional to 2,360.46, 3,538.62 and 898.64

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Solution

The fourth proportional to 2,360.46, 3,538.62 and 898.64 is: 1,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.46 : 3,538.62 = 898.64 : x
  2. Step 2: Convert to fraction form
    2,360.46/3,538.62 = 898.64/x
  3. Step 3: Cross multiply
    2,360.46x = 3,538.62 × 898.64
  4. Step 4: Simplify right side
    2,360.46x = 3,179,945.48
  5. Step 5: Solve for x
    x = 3,179,945.48/2,360.46
  6. Step 6: Final answer
    x = 1,347.17

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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.