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Finding the Fourth Proportional to 2,656, 3,666.24 and 1,830.40

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Solution

The fourth proportional to 2,656, 3,666.24 and 1,830.40 is: 2,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656 : 3,666.24 = 1,830.40 : x
  2. Step 2: Convert to fraction form
    2,656/3,666.24 = 1,830.40/x
  3. Step 3: Cross multiply
    2,656x = 3,666.24 × 1,830.40
  4. Step 4: Simplify right side
    2,656x = 6,710,685.70
  5. Step 5: Solve for x
    x = 6,710,685.70/2,656
  6. Step 6: Final answer
    x = 2,526.61

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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.