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Finding the Fourth Proportional to 2,358.93, 3,537 and 898.18

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Solution

The fourth proportional to 2,358.93, 3,537 and 898.18 is: 1,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.93 : 3,537 = 898.18 : x
  2. Step 2: Convert to fraction form
    2,358.93/3,537 = 898.18/x
  3. Step 3: Cross multiply
    2,358.93x = 3,537 × 898.18
  4. Step 4: Simplify right side
    2,358.93x = 3,176,862.66
  5. Step 5: Solve for x
    x = 3,176,862.66/2,358.93
  6. Step 6: Final answer
    x = 1,346.74

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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.