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Finding the Fourth Proportional to 1,880.88, 2,590.02 and 1,486.68

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Solution

The fourth proportional to 1,880.88, 2,590.02 and 1,486.68 is: 2,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.88 : 2,590.02 = 1,486.68 : x
  2. Step 2: Convert to fraction form
    1,880.88/2,590.02 = 1,486.68/x
  3. Step 3: Cross multiply
    1,880.88x = 2,590.02 × 1,486.68
  4. Step 4: Simplify right side
    1,880.88x = 3,850,530.93
  5. Step 5: Solve for x
    x = 3,850,530.93/1,880.88
  6. Step 6: Final answer
    x = 2,047.20

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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.