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Finding the Fourth Proportional to 2,037.70, 2,812.02 and 1,106.20

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Solution

The fourth proportional to 2,037.70, 2,812.02 and 1,106.20 is: 1,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.70 : 2,812.02 = 1,106.20 : x
  2. Step 2: Convert to fraction form
    2,037.70/2,812.02 = 1,106.20/x
  3. Step 3: Cross multiply
    2,037.70x = 2,812.02 × 1,106.20
  4. Step 4: Simplify right side
    2,037.70x = 3,110,656.52
  5. Step 5: Solve for x
    x = 3,110,656.52/2,037.70
  6. Step 6: Final answer
    x = 1,526.55

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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.