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Finding the Fourth Proportional to 2,417.60, 3,335.50 and 1,423.22

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Solution

The fourth proportional to 2,417.60, 3,335.50 and 1,423.22 is: 1,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.60 : 3,335.50 = 1,423.22 : x
  2. Step 2: Convert to fraction form
    2,417.60/3,335.50 = 1,423.22/x
  3. Step 3: Cross multiply
    2,417.60x = 3,335.50 × 1,423.22
  4. Step 4: Simplify right side
    2,417.60x = 4,747,150.31
  5. Step 5: Solve for x
    x = 4,747,150.31/2,417.60
  6. Step 6: Final answer
    x = 1,963.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.