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Finding the Fourth Proportional to 3,015, 4,160.32 and 1,756.40

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Solution

The fourth proportional to 3,015, 4,160.32 and 1,756.40 is: 2,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015 : 4,160.32 = 1,756.40 : x
  2. Step 2: Convert to fraction form
    3,015/4,160.32 = 1,756.40/x
  3. Step 3: Cross multiply
    3,015x = 4,160.32 × 1,756.40
  4. Step 4: Simplify right side
    3,015x = 7,307,186.05
  5. Step 5: Solve for x
    x = 7,307,186.05/3,015
  6. Step 6: Final answer
    x = 2,423.61

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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.