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Finding the Fourth Proportional to 2,983.34, 4,117.02 and 1,657.24

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Solution

The fourth proportional to 2,983.34, 4,117.02 and 1,657.24 is: 2,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.34 : 4,117.02 = 1,657.24 : x
  2. Step 2: Convert to fraction form
    2,983.34/4,117.02 = 1,657.24/x
  3. Step 3: Cross multiply
    2,983.34x = 4,117.02 × 1,657.24
  4. Step 4: Simplify right side
    2,983.34x = 6,822,890.22
  5. Step 5: Solve for x
    x = 6,822,890.22/2,983.34
  6. Step 6: Final answer
    x = 2,287.00

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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.