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Finding the Fourth Proportional to 2,978.17, 4,465.74 and 1,003.12

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Solution

The fourth proportional to 2,978.17, 4,465.74 and 1,003.12 is: 1,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.17 : 4,465.74 = 1,003.12 : x
  2. Step 2: Convert to fraction form
    2,978.17/4,465.74 = 1,003.12/x
  3. Step 3: Cross multiply
    2,978.17x = 4,465.74 × 1,003.12
  4. Step 4: Simplify right side
    2,978.17x = 4,479,673.11
  5. Step 5: Solve for x
    x = 4,479,673.11/2,978.17
  6. Step 6: Final answer
    x = 1,504.17

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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.