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Finding the Fourth Proportional to 1,858.84, 2,787.94 and 560.12

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Solution

The fourth proportional to 1,858.84, 2,787.94 and 560.12 is: 840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.84 : 2,787.94 = 560.12 : x
  2. Step 2: Convert to fraction form
    1,858.84/2,787.94 = 560.12/x
  3. Step 3: Cross multiply
    1,858.84x = 2,787.94 × 560.12
  4. Step 4: Simplify right side
    1,858.84x = 1,561,580.95
  5. Step 5: Solve for x
    x = 1,561,580.95/1,858.84
  6. Step 6: Final answer
    x = 840.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.