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Finding the Fourth Proportional to 1,501.36, 2,252.16 and 405.76

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Solution

The fourth proportional to 1,501.36, 2,252.16 and 405.76 is: 608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.36 : 2,252.16 = 405.76 : x
  2. Step 2: Convert to fraction form
    1,501.36/2,252.16 = 405.76/x
  3. Step 3: Cross multiply
    1,501.36x = 2,252.16 × 405.76
  4. Step 4: Simplify right side
    1,501.36x = 913,836.44
  5. Step 5: Solve for x
    x = 913,836.44/1,501.36
  6. Step 6: Final answer
    x = 608.67

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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.