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Finding the Fourth Proportional to 1,959.90, 2,706 and 1,588.52

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Solution

The fourth proportional to 1,959.90, 2,706 and 1,588.52 is: 2,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.90 : 2,706 = 1,588.52 : x
  2. Step 2: Convert to fraction form
    1,959.90/2,706 = 1,588.52/x
  3. Step 3: Cross multiply
    1,959.90x = 2,706 × 1,588.52
  4. Step 4: Simplify right side
    1,959.90x = 4,298,521.59
  5. Step 5: Solve for x
    x = 4,298,521.59/1,959.90
  6. Step 6: Final answer
    x = 2,193.24

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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.