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Finding the Fourth Proportional to 2,586, 3,568.68 and 1,407

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Solution

The fourth proportional to 2,586, 3,568.68 and 1,407 is: 1,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586 : 3,568.68 = 1,407 : x
  2. Step 2: Convert to fraction form
    2,586/3,568.68 = 1,407/x
  3. Step 3: Cross multiply
    2,586x = 3,568.68 × 1,407
  4. Step 4: Simplify right side
    2,586x = 5,021,132.76
  5. Step 5: Solve for x
    x = 5,021,132.76/2,586
  6. Step 6: Final answer
    x = 1,941.66

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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.