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Finding the Fourth Proportional to 2,348.39, 3,522.65 and 1,307.81

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Solution

The fourth proportional to 2,348.39, 3,522.65 and 1,307.81 is: 1,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.39 : 3,522.65 = 1,307.81 : x
  2. Step 2: Convert to fraction form
    2,348.39/3,522.65 = 1,307.81/x
  3. Step 3: Cross multiply
    2,348.39x = 3,522.65 × 1,307.81
  4. Step 4: Simplify right side
    2,348.39x = 4,606,932.74
  5. Step 5: Solve for x
    x = 4,606,932.74/2,348.39
  6. Step 6: Final answer
    x = 1,961.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.