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Finding the Fourth Proportional to 2,358.86, 3,535.23 and 970.58

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Solution

The fourth proportional to 2,358.86, 3,535.23 and 970.58 is: 1,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.86 : 3,535.23 = 970.58 : x
  2. Step 2: Convert to fraction form
    2,358.86/3,535.23 = 970.58/x
  3. Step 3: Cross multiply
    2,358.86x = 3,535.23 × 970.58
  4. Step 4: Simplify right side
    2,358.86x = 3,431,237.57
  5. Step 5: Solve for x
    x = 3,431,237.57/2,358.86
  6. Step 6: Final answer
    x = 1,454.62

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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.