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Finding the Fourth Proportional to 2,307.60, 3,443.09 and 1,943.10

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Solution

The fourth proportional to 2,307.60, 3,443.09 and 1,943.10 is: 2,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.60 : 3,443.09 = 1,943.10 : x
  2. Step 2: Convert to fraction form
    2,307.60/3,443.09 = 1,943.10/x
  3. Step 3: Cross multiply
    2,307.60x = 3,443.09 × 1,943.10
  4. Step 4: Simplify right side
    2,307.60x = 6,690,258.46
  5. Step 5: Solve for x
    x = 6,690,258.46/2,307.60
  6. Step 6: Final answer
    x = 2,899.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.