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Finding the Fourth Proportional to 2,158.56, 2,978.88 and 1,214.40

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Solution

The fourth proportional to 2,158.56, 2,978.88 and 1,214.40 is: 1,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.56 : 2,978.88 = 1,214.40 : x
  2. Step 2: Convert to fraction form
    2,158.56/2,978.88 = 1,214.40/x
  3. Step 3: Cross multiply
    2,158.56x = 2,978.88 × 1,214.40
  4. Step 4: Simplify right side
    2,158.56x = 3,617,551.87
  5. Step 5: Solve for x
    x = 3,617,551.87/2,158.56
  6. Step 6: Final answer
    x = 1,675.91

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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.