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Finding the Fourth Proportional to 1,501.05, 2,251.62 and 405.39

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Solution

The fourth proportional to 1,501.05, 2,251.62 and 405.39 is: 608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.05 : 2,251.62 = 405.39 : x
  2. Step 2: Convert to fraction form
    1,501.05/2,251.62 = 405.39/x
  3. Step 3: Cross multiply
    1,501.05x = 2,251.62 × 405.39
  4. Step 4: Simplify right side
    1,501.05x = 912,784.23
  5. Step 5: Solve for x
    x = 912,784.23/1,501.05
  6. Step 6: Final answer
    x = 608.10

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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.