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Finding the Fourth Proportional to 2,357.92, 3,532.02 and 2,071.18

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Solution

The fourth proportional to 2,357.92, 3,532.02 and 2,071.18 is: 3,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.92 : 3,532.02 = 2,071.18 : x
  2. Step 2: Convert to fraction form
    2,357.92/3,532.02 = 2,071.18/x
  3. Step 3: Cross multiply
    2,357.92x = 3,532.02 × 2,071.18
  4. Step 4: Simplify right side
    2,357.92x = 7,315,449.18
  5. Step 5: Solve for x
    x = 7,315,449.18/2,357.92
  6. Step 6: Final answer
    x = 3,102.50

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1.5x scale

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.