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Finding the Fourth Proportional to 1,428.84, 1,967.14 and 1,221.48

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Solution

The fourth proportional to 1,428.84, 1,967.14 and 1,221.48 is: 1,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.84 : 1,967.14 = 1,221.48 : x
  2. Step 2: Convert to fraction form
    1,428.84/1,967.14 = 1,221.48/x
  3. Step 3: Cross multiply
    1,428.84x = 1,967.14 × 1,221.48
  4. Step 4: Simplify right side
    1,428.84x = 2,402,822.17
  5. Step 5: Solve for x
    x = 2,402,822.17/1,428.84
  6. Step 6: Final answer
    x = 1,681.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.