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Finding the Fourth Proportional to 1,291.88, 1,927.84 and 1,153.44

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Solution

The fourth proportional to 1,291.88, 1,927.84 and 1,153.44 is: 1,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.88 : 1,927.84 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,291.88/1,927.84 = 1,153.44/x
  3. Step 3: Cross multiply
    1,291.88x = 1,927.84 × 1,153.44
  4. Step 4: Simplify right side
    1,291.88x = 2,223,647.77
  5. Step 5: Solve for x
    x = 2,223,647.77/1,291.88
  6. Step 6: Final answer
    x = 1,721.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.