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Finding the Fourth Proportional to 1,501.40, 2,250.96 and 577.73

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Solution

The fourth proportional to 1,501.40, 2,250.96 and 577.73 is: 866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.40 : 2,250.96 = 577.73 : x
  2. Step 2: Convert to fraction form
    1,501.40/2,250.96 = 577.73/x
  3. Step 3: Cross multiply
    1,501.40x = 2,250.96 × 577.73
  4. Step 4: Simplify right side
    1,501.40x = 1,300,450.58
  5. Step 5: Solve for x
    x = 1,300,450.58/1,501.40
  6. Step 6: Final answer
    x = 866.16

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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.