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Finding the Fourth Proportional to 1,858.19, 2,787.72 and 541.98

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Solution

The fourth proportional to 1,858.19, 2,787.72 and 541.98 is: 813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.19 : 2,787.72 = 541.98 : x
  2. Step 2: Convert to fraction form
    1,858.19/2,787.72 = 541.98/x
  3. Step 3: Cross multiply
    1,858.19x = 2,787.72 × 541.98
  4. Step 4: Simplify right side
    1,858.19x = 1,510,888.49
  5. Step 5: Solve for x
    x = 1,510,888.49/1,858.19
  6. Step 6: Final answer
    x = 813.10

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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.