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Finding the Fourth Proportional to 2,430.75, 3,646.78 and 970.93

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Solution

The fourth proportional to 2,430.75, 3,646.78 and 970.93 is: 1,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.75 : 3,646.78 = 970.93 : x
  2. Step 2: Convert to fraction form
    2,430.75/3,646.78 = 970.93/x
  3. Step 3: Cross multiply
    2,430.75x = 3,646.78 × 970.93
  4. Step 4: Simplify right side
    2,430.75x = 3,540,756.56
  5. Step 5: Solve for x
    x = 3,540,756.56/2,430.75
  6. Step 6: Final answer
    x = 1,456.65

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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.