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Finding the Fourth Proportional to 1,501.32, 2,252.64 and 852.36

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Solution

The fourth proportional to 1,501.32, 2,252.64 and 852.36 is: 1,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.32 : 2,252.64 = 852.36 : x
  2. Step 2: Convert to fraction form
    1,501.32/2,252.64 = 852.36/x
  3. Step 3: Cross multiply
    1,501.32x = 2,252.64 × 852.36
  4. Step 4: Simplify right side
    1,501.32x = 1,920,060.23
  5. Step 5: Solve for x
    x = 1,920,060.23/1,501.32
  6. Step 6: Final answer
    x = 1,278.91

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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.