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Finding the Fourth Proportional to 2,575.04, 3,864 and 1,036.16

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Solution

The fourth proportional to 2,575.04, 3,864 and 1,036.16 is: 1,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.04 : 3,864 = 1,036.16 : x
  2. Step 2: Convert to fraction form
    2,575.04/3,864 = 1,036.16/x
  3. Step 3: Cross multiply
    2,575.04x = 3,864 × 1,036.16
  4. Step 4: Simplify right side
    2,575.04x = 4,003,722.24
  5. Step 5: Solve for x
    x = 4,003,722.24/2,575.04
  6. Step 6: Final answer
    x = 1,554.82

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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.