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Finding the Fourth Proportional to 2,097.56, 2,894.00 and 1,500.23

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Solution

The fourth proportional to 2,097.56, 2,894.00 and 1,500.23 is: 2,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.56 : 2,894.00 = 1,500.23 : x
  2. Step 2: Convert to fraction form
    2,097.56/2,894.00 = 1,500.23/x
  3. Step 3: Cross multiply
    2,097.56x = 2,894.00 × 1,500.23
  4. Step 4: Simplify right side
    2,097.56x = 4,341,676.61
  5. Step 5: Solve for x
    x = 4,341,676.61/2,097.56
  6. Step 6: Final answer
    x = 2,069.87

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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.