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Finding the Fourth Proportional to 2,106.65, 3,157.40 and 1,490.53

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Solution

The fourth proportional to 2,106.65, 3,157.40 and 1,490.53 is: 2,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.65 : 3,157.40 = 1,490.53 : x
  2. Step 2: Convert to fraction form
    2,106.65/3,157.40 = 1,490.53/x
  3. Step 3: Cross multiply
    2,106.65x = 3,157.40 × 1,490.53
  4. Step 4: Simplify right side
    2,106.65x = 4,706,199.42
  5. Step 5: Solve for x
    x = 4,706,199.42/2,106.65
  6. Step 6: Final answer
    x = 2,233.97

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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.