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Finding the Fourth Proportional to 2,019.16, 3,029.64 and 924.52

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Solution

The fourth proportional to 2,019.16, 3,029.64 and 924.52 is: 1,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.16 : 3,029.64 = 924.52 : x
  2. Step 2: Convert to fraction form
    2,019.16/3,029.64 = 924.52/x
  3. Step 3: Cross multiply
    2,019.16x = 3,029.64 × 924.52
  4. Step 4: Simplify right side
    2,019.16x = 2,800,962.77
  5. Step 5: Solve for x
    x = 2,800,962.77/2,019.16
  6. Step 6: Final answer
    x = 1,387.19

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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.