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Finding the Fourth Proportional to 1,434.63, 2,151.81 and 886.89

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Solution

The fourth proportional to 1,434.63, 2,151.81 and 886.89 is: 1,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.63 : 2,151.81 = 886.89 : x
  2. Step 2: Convert to fraction form
    1,434.63/2,151.81 = 886.89/x
  3. Step 3: Cross multiply
    1,434.63x = 2,151.81 × 886.89
  4. Step 4: Simplify right side
    1,434.63x = 1,908,418.77
  5. Step 5: Solve for x
    x = 1,908,418.77/1,434.63
  6. Step 6: Final answer
    x = 1,330.25

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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.