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Finding the Fourth Proportional to 1,822.50, 2,515.05 and 1,037.00

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Solution

The fourth proportional to 1,822.50, 2,515.05 and 1,037.00 is: 1,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.50 : 2,515.05 = 1,037.00 : x
  2. Step 2: Convert to fraction form
    1,822.50/2,515.05 = 1,037.00/x
  3. Step 3: Cross multiply
    1,822.50x = 2,515.05 × 1,037.00
  4. Step 4: Simplify right side
    1,822.50x = 2,608,113.14
  5. Step 5: Solve for x
    x = 2,608,113.14/1,822.50
  6. Step 6: Final answer
    x = 1,431.06

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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.