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Finding the Fourth Proportional to 2,358.95, 3,538.88 and 897.99

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Solution

The fourth proportional to 2,358.95, 3,538.88 and 897.99 is: 1,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.95 : 3,538.88 = 897.99 : x
  2. Step 2: Convert to fraction form
    2,358.95/3,538.88 = 897.99/x
  3. Step 3: Cross multiply
    2,358.95x = 3,538.88 × 897.99
  4. Step 4: Simplify right side
    2,358.95x = 3,177,856.67
  5. Step 5: Solve for x
    x = 3,177,856.67/2,358.95
  6. Step 6: Final answer
    x = 1,347.15

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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.