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Finding the Fourth Proportional to 1,437.40, 2,155.87 and 397.21

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Solution

The fourth proportional to 1,437.40, 2,155.87 and 397.21 is: 595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.40 : 2,155.87 = 397.21 : x
  2. Step 2: Convert to fraction form
    1,437.40/2,155.87 = 397.21/x
  3. Step 3: Cross multiply
    1,437.40x = 2,155.87 × 397.21
  4. Step 4: Simplify right side
    1,437.40x = 856,332.27
  5. Step 5: Solve for x
    x = 856,332.27/1,437.40
  6. Step 6: Final answer
    x = 595.75

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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.