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Finding the Fourth Proportional to 1,568.86, 2,362.48 and 1,160.89

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Solution

The fourth proportional to 1,568.86, 2,362.48 and 1,160.89 is: 1,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.86 : 2,362.48 = 1,160.89 : x
  2. Step 2: Convert to fraction form
    1,568.86/2,362.48 = 1,160.89/x
  3. Step 3: Cross multiply
    1,568.86x = 2,362.48 × 1,160.89
  4. Step 4: Simplify right side
    1,568.86x = 2,742,570.60
  5. Step 5: Solve for x
    x = 2,742,570.60/1,568.86
  6. Step 6: Final answer
    x = 1,748.13

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