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Finding the Fourth Proportional to 2,157.34, 2,978.40 and 1,360.84

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Solution

The fourth proportional to 2,157.34, 2,978.40 and 1,360.84 is: 1,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.34 : 2,978.40 = 1,360.84 : x
  2. Step 2: Convert to fraction form
    2,157.34/2,978.40 = 1,360.84/x
  3. Step 3: Cross multiply
    2,157.34x = 2,978.40 × 1,360.84
  4. Step 4: Simplify right side
    2,157.34x = 4,053,125.86
  5. Step 5: Solve for x
    x = 4,053,125.86/2,157.34
  6. Step 6: Final answer
    x = 1,878.76

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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.