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Finding the Fourth Proportional to 2,444.17, 3,666.42 and 983.32

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Solution

The fourth proportional to 2,444.17, 3,666.42 and 983.32 is: 1,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.17 : 3,666.42 = 983.32 : x
  2. Step 2: Convert to fraction form
    2,444.17/3,666.42 = 983.32/x
  3. Step 3: Cross multiply
    2,444.17x = 3,666.42 × 983.32
  4. Step 4: Simplify right side
    2,444.17x = 3,605,264.11
  5. Step 5: Solve for x
    x = 3,605,264.11/2,444.17
  6. Step 6: Final answer
    x = 1,475.05

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Why These Related Problems?

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