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Finding the Fourth Proportional to 1,619.74, 2,430.22 and 970.94

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Solution

The fourth proportional to 1,619.74, 2,430.22 and 970.94 is: 1,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.74 : 2,430.22 = 970.94 : x
  2. Step 2: Convert to fraction form
    1,619.74/2,430.22 = 970.94/x
  3. Step 3: Cross multiply
    1,619.74x = 2,430.22 × 970.94
  4. Step 4: Simplify right side
    1,619.74x = 2,359,597.81
  5. Step 5: Solve for x
    x = 2,359,597.81/1,619.74
  6. Step 6: Final answer
    x = 1,456.78

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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.