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Finding the Fourth Proportional to 2,601.70, 3,591.80 and 1,720.06

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Solution

The fourth proportional to 2,601.70, 3,591.80 and 1,720.06 is: 2,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.70 : 3,591.80 = 1,720.06 : x
  2. Step 2: Convert to fraction form
    2,601.70/3,591.80 = 1,720.06/x
  3. Step 3: Cross multiply
    2,601.70x = 3,591.80 × 1,720.06
  4. Step 4: Simplify right side
    2,601.70x = 6,178,111.51
  5. Step 5: Solve for x
    x = 6,178,111.51/2,601.70
  6. Step 6: Final answer
    x = 2,374.64

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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.