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Finding the Fourth Proportional to 1,807.52, 2,494.16 and 1,021.48

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Solution

The fourth proportional to 1,807.52, 2,494.16 and 1,021.48 is: 1,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.52 : 2,494.16 = 1,021.48 : x
  2. Step 2: Convert to fraction form
    1,807.52/2,494.16 = 1,021.48/x
  3. Step 3: Cross multiply
    1,807.52x = 2,494.16 × 1,021.48
  4. Step 4: Simplify right side
    1,807.52x = 2,547,734.56
  5. Step 5: Solve for x
    x = 2,547,734.56/1,807.52
  6. Step 6: Final answer
    x = 1,409.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.