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Finding the Fourth Proportional to 2,024.65, 3,036.57 and 1,050.22

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Solution

The fourth proportional to 2,024.65, 3,036.57 and 1,050.22 is: 1,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.65 : 3,036.57 = 1,050.22 : x
  2. Step 2: Convert to fraction form
    2,024.65/3,036.57 = 1,050.22/x
  3. Step 3: Cross multiply
    2,024.65x = 3,036.57 × 1,050.22
  4. Step 4: Simplify right side
    2,024.65x = 3,189,066.55
  5. Step 5: Solve for x
    x = 3,189,066.55/2,024.65
  6. Step 6: Final answer
    x = 1,575.12

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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.