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Finding the Fourth Proportional to 1,568.87, 2,362.48 and 1,160.88

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Solution

The fourth proportional to 1,568.87, 2,362.48 and 1,160.88 is: 1,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.87 : 2,362.48 = 1,160.88 : x
  2. Step 2: Convert to fraction form
    1,568.87/2,362.48 = 1,160.88/x
  3. Step 3: Cross multiply
    1,568.87x = 2,362.48 × 1,160.88
  4. Step 4: Simplify right side
    1,568.87x = 2,742,552.88
  5. Step 5: Solve for x
    x = 2,742,552.88/1,568.87
  6. Step 6: Final answer
    x = 1,748.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.