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Finding the Fourth Proportional to 1,588.19, 2,191.67 and 870.38

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Solution

The fourth proportional to 1,588.19, 2,191.67 and 870.38 is: 1,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.19 : 2,191.67 = 870.38 : x
  2. Step 2: Convert to fraction form
    1,588.19/2,191.67 = 870.38/x
  3. Step 3: Cross multiply
    1,588.19x = 2,191.67 × 870.38
  4. Step 4: Simplify right side
    1,588.19x = 1,907,578.51
  5. Step 5: Solve for x
    x = 1,907,578.51/1,588.19
  6. Step 6: Final answer
    x = 1,201.10

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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.