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Finding the Fourth Proportional to 2,158.64, 2,978.80 and 1,214.45

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Solution

The fourth proportional to 2,158.64, 2,978.80 and 1,214.45 is: 1,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.64 : 2,978.80 = 1,214.45 : x
  2. Step 2: Convert to fraction form
    2,158.64/2,978.80 = 1,214.45/x
  3. Step 3: Cross multiply
    2,158.64x = 2,978.80 × 1,214.45
  4. Step 4: Simplify right side
    2,158.64x = 3,617,603.66
  5. Step 5: Solve for x
    x = 3,617,603.66/2,158.64
  6. Step 6: Final answer
    x = 1,675.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.