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Finding the Fourth Proportional to 2,315.70, 3,475.98 and 2,199.06

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Solution

The fourth proportional to 2,315.70, 3,475.98 and 2,199.06 is: 3,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.70 : 3,475.98 = 2,199.06 : x
  2. Step 2: Convert to fraction form
    2,315.70/3,475.98 = 2,199.06/x
  3. Step 3: Cross multiply
    2,315.70x = 3,475.98 × 2,199.06
  4. Step 4: Simplify right side
    2,315.70x = 7,643,888.58
  5. Step 5: Solve for x
    x = 7,643,888.58/2,315.70
  6. Step 6: Final answer
    x = 3,300.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.