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Finding the Fourth Proportional to 2,430.70, 3,648.78 and 970.88

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Solution

The fourth proportional to 2,430.70, 3,648.78 and 970.88 is: 1,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.70 : 3,648.78 = 970.88 : x
  2. Step 2: Convert to fraction form
    2,430.70/3,648.78 = 970.88/x
  3. Step 3: Cross multiply
    2,430.70x = 3,648.78 × 970.88
  4. Step 4: Simplify right side
    2,430.70x = 3,542,527.53
  5. Step 5: Solve for x
    x = 3,542,527.53/2,430.70
  6. Step 6: Final answer
    x = 1,457.41

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1.5x scale

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.