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Finding the Fourth Proportional to 2,913.66, 4,370.49 and 1,353.46

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Solution

The fourth proportional to 2,913.66, 4,370.49 and 1,353.46 is: 2,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.66 : 4,370.49 = 1,353.46 : x
  2. Step 2: Convert to fraction form
    2,913.66/4,370.49 = 1,353.46/x
  3. Step 3: Cross multiply
    2,913.66x = 4,370.49 × 1,353.46
  4. Step 4: Simplify right side
    2,913.66x = 5,915,283.40
  5. Step 5: Solve for x
    x = 5,915,283.40/2,913.66
  6. Step 6: Final answer
    x = 2,030.19

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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.