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Finding the Fourth Proportional to 1,822.84, 2,515.73 and 1,037.01

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Solution

The fourth proportional to 1,822.84, 2,515.73 and 1,037.01 is: 1,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.84 : 2,515.73 = 1,037.01 : x
  2. Step 2: Convert to fraction form
    1,822.84/2,515.73 = 1,037.01/x
  3. Step 3: Cross multiply
    1,822.84x = 2,515.73 × 1,037.01
  4. Step 4: Simplify right side
    1,822.84x = 2,608,837.17
  5. Step 5: Solve for x
    x = 2,608,837.17/1,822.84
  6. Step 6: Final answer
    x = 1,431.19

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Why These Related Problems?

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