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Finding the Fourth Proportional to 2,334.40, 3,503.06 and 947.74

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Solution

The fourth proportional to 2,334.40, 3,503.06 and 947.74 is: 1,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.40 : 3,503.06 = 947.74 : x
  2. Step 2: Convert to fraction form
    2,334.40/3,503.06 = 947.74/x
  3. Step 3: Cross multiply
    2,334.40x = 3,503.06 × 947.74
  4. Step 4: Simplify right side
    2,334.40x = 3,319,990.08
  5. Step 5: Solve for x
    x = 3,319,990.08/2,334.40
  6. Step 6: Final answer
    x = 1,422.21

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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.