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Finding the Fourth Proportional to 2,203.60, 3,306.27 and 970.15

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Solution

The fourth proportional to 2,203.60, 3,306.27 and 970.15 is: 1,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.60 : 3,306.27 = 970.15 : x
  2. Step 2: Convert to fraction form
    2,203.60/3,306.27 = 970.15/x
  3. Step 3: Cross multiply
    2,203.60x = 3,306.27 × 970.15
  4. Step 4: Simplify right side
    2,203.60x = 3,207,559.74
  5. Step 5: Solve for x
    x = 3,207,559.74/2,203.60
  6. Step 6: Final answer
    x = 1,455.60

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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.