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Finding the Fourth Proportional to 1,501.40, 2,251.88 and 405.83

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Solution

The fourth proportional to 1,501.40, 2,251.88 and 405.83 is: 608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.40 : 2,251.88 = 405.83 : x
  2. Step 2: Convert to fraction form
    1,501.40/2,251.88 = 405.83/x
  3. Step 3: Cross multiply
    1,501.40x = 2,251.88 × 405.83
  4. Step 4: Simplify right side
    1,501.40x = 913,867.17
  5. Step 5: Solve for x
    x = 913,867.17/1,501.40
  6. Step 6: Final answer
    x = 608.68

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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.