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Finding the Fourth Proportional to 1,521.84, 2,099.88 and 858.54

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Solution

The fourth proportional to 1,521.84, 2,099.88 and 858.54 is: 1,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.84 : 2,099.88 = 858.54 : x
  2. Step 2: Convert to fraction form
    1,521.84/2,099.88 = 858.54/x
  3. Step 3: Cross multiply
    1,521.84x = 2,099.88 × 858.54
  4. Step 4: Simplify right side
    1,521.84x = 1,802,830.98
  5. Step 5: Solve for x
    x = 1,802,830.98/1,521.84
  6. Step 6: Final answer
    x = 1,184.64

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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.