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Finding the Fourth Proportional to 1,677.10, 2,314.29 and 978.34

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Solution

The fourth proportional to 1,677.10, 2,314.29 and 978.34 is: 1,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.10 : 2,314.29 = 978.34 : x
  2. Step 2: Convert to fraction form
    1,677.10/2,314.29 = 978.34/x
  3. Step 3: Cross multiply
    1,677.10x = 2,314.29 × 978.34
  4. Step 4: Simplify right side
    1,677.10x = 2,264,162.48
  5. Step 5: Solve for x
    x = 2,264,162.48/1,677.10
  6. Step 6: Final answer
    x = 1,350.05

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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.