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Finding the Fourth Proportional to 2,158.95, 2,979.64 and 1,319.49

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Solution

The fourth proportional to 2,158.95, 2,979.64 and 1,319.49 is: 1,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.95 : 2,979.64 = 1,319.49 : x
  2. Step 2: Convert to fraction form
    2,158.95/2,979.64 = 1,319.49/x
  3. Step 3: Cross multiply
    2,158.95x = 2,979.64 × 1,319.49
  4. Step 4: Simplify right side
    2,158.95x = 3,931,599.41
  5. Step 5: Solve for x
    x = 3,931,599.41/2,158.95
  6. Step 6: Final answer
    x = 1,821.07

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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.