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Finding the Fourth Proportional to 1,767.69, 2,638.58 and 1,560.13

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Solution

The fourth proportional to 1,767.69, 2,638.58 and 1,560.13 is: 2,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.69 : 2,638.58 = 1,560.13 : x
  2. Step 2: Convert to fraction form
    1,767.69/2,638.58 = 1,560.13/x
  3. Step 3: Cross multiply
    1,767.69x = 2,638.58 × 1,560.13
  4. Step 4: Simplify right side
    1,767.69x = 4,116,513.42
  5. Step 5: Solve for x
    x = 4,116,513.42/1,767.69
  6. Step 6: Final answer
    x = 2,328.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.