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Finding the Fourth Proportional to 1,557, 2,148.71 and 858.42

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Solution

The fourth proportional to 1,557, 2,148.71 and 858.42 is: 1,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557 : 2,148.71 = 858.42 : x
  2. Step 2: Convert to fraction form
    1,557/2,148.71 = 858.42/x
  3. Step 3: Cross multiply
    1,557x = 2,148.71 × 858.42
  4. Step 4: Simplify right side
    1,557x = 1,844,491.35
  5. Step 5: Solve for x
    x = 1,844,491.35/1,557
  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.