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Finding the Fourth Proportional to 2,348.50, 3,240.94 and 1,417.18

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Solution

The fourth proportional to 2,348.50, 3,240.94 and 1,417.18 is: 1,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.50 : 3,240.94 = 1,417.18 : x
  2. Step 2: Convert to fraction form
    2,348.50/3,240.94 = 1,417.18/x
  3. Step 3: Cross multiply
    2,348.50x = 3,240.94 × 1,417.18
  4. Step 4: Simplify right side
    2,348.50x = 4,592,995.35
  5. Step 5: Solve for x
    x = 4,592,995.35/2,348.50
  6. Step 6: Final answer
    x = 1,955.71

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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.