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Finding the Fourth Proportional to 2,358.32, 3,534.71 and 970.97

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Solution

The fourth proportional to 2,358.32, 3,534.71 and 970.97 is: 1,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.32 : 3,534.71 = 970.97 : x
  2. Step 2: Convert to fraction form
    2,358.32/3,534.71 = 970.97/x
  3. Step 3: Cross multiply
    2,358.32x = 3,534.71 × 970.97
  4. Step 4: Simplify right side
    2,358.32x = 3,432,074.84
  5. Step 5: Solve for x
    x = 3,432,074.84/2,358.32
  6. Step 6: Final answer
    x = 1,455.31

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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.