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Finding the Fourth Proportional to 1,443.98, 1,979.70 and 1,417.72

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Solution

The fourth proportional to 1,443.98, 1,979.70 and 1,417.72 is: 1,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.98 : 1,979.70 = 1,417.72 : x
  2. Step 2: Convert to fraction form
    1,443.98/1,979.70 = 1,417.72/x
  3. Step 3: Cross multiply
    1,443.98x = 1,979.70 × 1,417.72
  4. Step 4: Simplify right side
    1,443.98x = 2,806,660.28
  5. Step 5: Solve for x
    x = 2,806,660.28/1,443.98
  6. Step 6: Final answer
    x = 1,943.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.