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Finding the Fourth Proportional to 1,457.75, 2,170.20 and 1,437.23

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Solution

The fourth proportional to 1,457.75, 2,170.20 and 1,437.23 is: 2,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.75 : 2,170.20 = 1,437.23 : x
  2. Step 2: Convert to fraction form
    1,457.75/2,170.20 = 1,437.23/x
  3. Step 3: Cross multiply
    1,457.75x = 2,170.20 × 1,437.23
  4. Step 4: Simplify right side
    1,457.75x = 3,119,065.70
  5. Step 5: Solve for x
    x = 3,119,065.70/1,457.75
  6. Step 6: Final answer
    x = 2,139.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.