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Finding the Fourth Proportional to 1,399.32, 2,097.35 and 1,237.32

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Solution

The fourth proportional to 1,399.32, 2,097.35 and 1,237.32 is: 1,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.32 : 2,097.35 = 1,237.32 : x
  2. Step 2: Convert to fraction form
    1,399.32/2,097.35 = 1,237.32/x
  3. Step 3: Cross multiply
    1,399.32x = 2,097.35 × 1,237.32
  4. Step 4: Simplify right side
    1,399.32x = 2,595,093.10
  5. Step 5: Solve for x
    x = 2,595,093.10/1,399.32
  6. Step 6: Final answer
    x = 1,854.54

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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.