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Finding the Fourth Proportional to 1,684.68, 2,327.13 and 1,527.49

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Solution

The fourth proportional to 1,684.68, 2,327.13 and 1,527.49 is: 2,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.68 : 2,327.13 = 1,527.49 : x
  2. Step 2: Convert to fraction form
    1,684.68/2,327.13 = 1,527.49/x
  3. Step 3: Cross multiply
    1,684.68x = 2,327.13 × 1,527.49
  4. Step 4: Simplify right side
    1,684.68x = 3,554,670.71
  5. Step 5: Solve for x
    x = 3,554,670.71/1,684.68
  6. Step 6: Final answer
    x = 2,110.00

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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.