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Finding the Fourth Proportional to 1,671.84, 2,307.17 and 925.82

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Solution

The fourth proportional to 1,671.84, 2,307.17 and 925.82 is: 1,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.84 : 2,307.17 = 925.82 : x
  2. Step 2: Convert to fraction form
    1,671.84/2,307.17 = 925.82/x
  3. Step 3: Cross multiply
    1,671.84x = 2,307.17 × 925.82
  4. Step 4: Simplify right side
    1,671.84x = 2,136,019.01
  5. Step 5: Solve for x
    x = 2,136,019.01/1,671.84
  6. Step 6: Final answer
    x = 1,277.65

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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.