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Finding the Fourth Proportional to 1,880.88, 2,596.14 and 1,507.71

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Solution

The fourth proportional to 1,880.88, 2,596.14 and 1,507.71 is: 2,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.88 : 2,596.14 = 1,507.71 : x
  2. Step 2: Convert to fraction form
    1,880.88/2,596.14 = 1,507.71/x
  3. Step 3: Cross multiply
    1,880.88x = 2,596.14 × 1,507.71
  4. Step 4: Simplify right side
    1,880.88x = 3,914,226.24
  5. Step 5: Solve for x
    x = 3,914,226.24/1,880.88
  6. Step 6: Final answer
    x = 2,081.06

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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.