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Finding the Fourth Proportional to 2,562.93, 3,537.10 and 1,568.86

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Solution

The fourth proportional to 2,562.93, 3,537.10 and 1,568.86 is: 2,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.93 : 3,537.10 = 1,568.86 : x
  2. Step 2: Convert to fraction form
    2,562.93/3,537.10 = 1,568.86/x
  3. Step 3: Cross multiply
    2,562.93x = 3,537.10 × 1,568.86
  4. Step 4: Simplify right side
    2,562.93x = 5,549,225.51
  5. Step 5: Solve for x
    x = 5,549,225.51/2,562.93
  6. Step 6: Final answer
    x = 2,165.19

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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.