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Finding the Fourth Proportional to 2,342.40, 3,237.12 and 1,922.10

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Solution

The fourth proportional to 2,342.40, 3,237.12 and 1,922.10 is: 2,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.40 : 3,237.12 = 1,922.10 : x
  2. Step 2: Convert to fraction form
    2,342.40/3,237.12 = 1,922.10/x
  3. Step 3: Cross multiply
    2,342.40x = 3,237.12 × 1,922.10
  4. Step 4: Simplify right side
    2,342.40x = 6,222,068.35
  5. Step 5: Solve for x
    x = 6,222,068.35/2,342.40
  6. Step 6: Final answer
    x = 2,656.28

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