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Finding the Fourth Proportional to 1,523.61, 2,281.77 and 1,447.07

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Solution

The fourth proportional to 1,523.61, 2,281.77 and 1,447.07 is: 2,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.61 : 2,281.77 = 1,447.07 : x
  2. Step 2: Convert to fraction form
    1,523.61/2,281.77 = 1,447.07/x
  3. Step 3: Cross multiply
    1,523.61x = 2,281.77 × 1,447.07
  4. Step 4: Simplify right side
    1,523.61x = 3,301,869.51
  5. Step 5: Solve for x
    x = 3,301,869.51/1,523.61
  6. Step 6: Final answer
    x = 2,167.14

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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.