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Finding the Fourth Proportional to 2,430.95, 3,648.20 and 970.52

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Solution

The fourth proportional to 2,430.95, 3,648.20 and 970.52 is: 1,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.95 : 3,648.20 = 970.52 : x
  2. Step 2: Convert to fraction form
    2,430.95/3,648.20 = 970.52/x
  3. Step 3: Cross multiply
    2,430.95x = 3,648.20 × 970.52
  4. Step 4: Simplify right side
    2,430.95x = 3,540,651.06
  5. Step 5: Solve for x
    x = 3,540,651.06/2,430.95
  6. Step 6: Final answer
    x = 1,456.49

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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.