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Finding the Fourth Proportional to 1,431.84, 2,148.45 and 782.56

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Solution

The fourth proportional to 1,431.84, 2,148.45 and 782.56 is: 1,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.84 : 2,148.45 = 782.56 : x
  2. Step 2: Convert to fraction form
    1,431.84/2,148.45 = 782.56/x
  3. Step 3: Cross multiply
    1,431.84x = 2,148.45 × 782.56
  4. Step 4: Simplify right side
    1,431.84x = 1,681,291.03
  5. Step 5: Solve for x
    x = 1,681,291.03/1,431.84
  6. Step 6: Final answer
    x = 1,174.22

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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.