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Finding the Fourth Proportional to 1,773.65, 2,656.19 and 895.01

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Solution

The fourth proportional to 1,773.65, 2,656.19 and 895.01 is: 1,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.65 : 2,656.19 = 895.01 : x
  2. Step 2: Convert to fraction form
    1,773.65/2,656.19 = 895.01/x
  3. Step 3: Cross multiply
    1,773.65x = 2,656.19 × 895.01
  4. Step 4: Simplify right side
    1,773.65x = 2,377,305.57
  5. Step 5: Solve for x
    x = 2,377,305.57/1,773.65
  6. Step 6: Final answer
    x = 1,340.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.