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Finding the Fourth Proportional to 2,291.40, 3,437.46 and 1,368

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Solution

The fourth proportional to 2,291.40, 3,437.46 and 1,368 is: 2,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.40 : 3,437.46 = 1,368 : x
  2. Step 2: Convert to fraction form
    2,291.40/3,437.46 = 1,368/x
  3. Step 3: Cross multiply
    2,291.40x = 3,437.46 × 1,368
  4. Step 4: Simplify right side
    2,291.40x = 4,702,445.28
  5. Step 5: Solve for x
    x = 4,702,445.28/2,291.40
  6. Step 6: Final answer
    x = 2,052.21

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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.