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Finding the Fourth Proportional to 1,559.51, 2,151.93 and 860.88

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Solution

The fourth proportional to 1,559.51, 2,151.93 and 860.88 is: 1,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.51 : 2,151.93 = 860.88 : x
  2. Step 2: Convert to fraction form
    1,559.51/2,151.93 = 860.88/x
  3. Step 3: Cross multiply
    1,559.51x = 2,151.93 × 860.88
  4. Step 4: Simplify right side
    1,559.51x = 1,852,553.50
  5. Step 5: Solve for x
    x = 1,852,553.50/1,559.51
  6. Step 6: Final answer
    x = 1,187.91

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1.5x scale

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.