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Finding the Fourth Proportional to 2,562.88, 3,536.58 and 1,514.74

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Solution

The fourth proportional to 2,562.88, 3,536.58 and 1,514.74 is: 2,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.88 : 3,536.58 = 1,514.74 : x
  2. Step 2: Convert to fraction form
    2,562.88/3,536.58 = 1,514.74/x
  3. Step 3: Cross multiply
    2,562.88x = 3,536.58 × 1,514.74
  4. Step 4: Simplify right side
    2,562.88x = 5,356,999.19
  5. Step 5: Solve for x
    x = 5,356,999.19/2,562.88
  6. Step 6: Final answer
    x = 2,090.23

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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.