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Finding the Fourth Proportional to 2,079.42, 2,870.18 and 1,229.46

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Solution

The fourth proportional to 2,079.42, 2,870.18 and 1,229.46 is: 1,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.42 : 2,870.18 = 1,229.46 : x
  2. Step 2: Convert to fraction form
    2,079.42/2,870.18 = 1,229.46/x
  3. Step 3: Cross multiply
    2,079.42x = 2,870.18 × 1,229.46
  4. Step 4: Simplify right side
    2,079.42x = 3,528,771.50
  5. Step 5: Solve for x
    x = 3,528,771.50/2,079.42
  6. Step 6: Final answer
    x = 1,697.00

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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.