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Finding the Fourth Proportional to 1,822.68, 2,515.14 and 1,036.77

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Solution

The fourth proportional to 1,822.68, 2,515.14 and 1,036.77 is: 1,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.68 : 2,515.14 = 1,036.77 : x
  2. Step 2: Convert to fraction form
    1,822.68/2,515.14 = 1,036.77/x
  3. Step 3: Cross multiply
    1,822.68x = 2,515.14 × 1,036.77
  4. Step 4: Simplify right side
    1,822.68x = 2,607,621.70
  5. Step 5: Solve for x
    x = 2,607,621.70/1,822.68
  6. Step 6: Final answer
    x = 1,430.65

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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.