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Finding the Fourth Proportional to 2,266.99, 3,130.82 and 1,560.65

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Solution

The fourth proportional to 2,266.99, 3,130.82 and 1,560.65 is: 2,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.99 : 3,130.82 = 1,560.65 : x
  2. Step 2: Convert to fraction form
    2,266.99/3,130.82 = 1,560.65/x
  3. Step 3: Cross multiply
    2,266.99x = 3,130.82 × 1,560.65
  4. Step 4: Simplify right side
    2,266.99x = 4,886,106.43
  5. Step 5: Solve for x
    x = 4,886,106.43/2,266.99
  6. Step 6: Final answer
    x = 2,155.33

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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.