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Finding the Fourth Proportional to 2,514.84, 3,762.54 and 1,689.18

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Solution

The fourth proportional to 2,514.84, 3,762.54 and 1,689.18 is: 2,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.84 : 3,762.54 = 1,689.18 : x
  2. Step 2: Convert to fraction form
    2,514.84/3,762.54 = 1,689.18/x
  3. Step 3: Cross multiply
    2,514.84x = 3,762.54 × 1,689.18
  4. Step 4: Simplify right side
    2,514.84x = 6,355,607.32
  5. Step 5: Solve for x
    x = 6,355,607.32/2,514.84
  6. Step 6: Final answer
    x = 2,527.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.