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Finding the Fourth Proportional to 1,437.95, 2,155.71 and 853.54

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Solution

The fourth proportional to 1,437.95, 2,155.71 and 853.54 is: 1,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.95 : 2,155.71 = 853.54 : x
  2. Step 2: Convert to fraction form
    1,437.95/2,155.71 = 853.54/x
  3. Step 3: Cross multiply
    1,437.95x = 2,155.71 × 853.54
  4. Step 4: Simplify right side
    1,437.95x = 1,839,982.52
  5. Step 5: Solve for x
    x = 1,839,982.52/1,437.95
  6. Step 6: Final answer
    x = 1,279.59

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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.