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Finding the Fourth Proportional to 1,557.68, 2,149.40 and 859.01

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Solution

The fourth proportional to 1,557.68, 2,149.40 and 859.01 is: 1,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.68 : 2,149.40 = 859.01 : x
  2. Step 2: Convert to fraction form
    1,557.68/2,149.40 = 859.01/x
  3. Step 3: Cross multiply
    1,557.68x = 2,149.40 × 859.01
  4. Step 4: Simplify right side
    1,557.68x = 1,846,347.49
  5. Step 5: Solve for x
    x = 1,846,347.49/1,557.68
  6. Step 6: Final answer
    x = 1,185.32

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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.