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Finding the Fourth Proportional to 2,756.34, 3,803.72 and 1,497.40

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Solution

The fourth proportional to 2,756.34, 3,803.72 and 1,497.40 is: 2,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.34 : 3,803.72 = 1,497.40 : x
  2. Step 2: Convert to fraction form
    2,756.34/3,803.72 = 1,497.40/x
  3. Step 3: Cross multiply
    2,756.34x = 3,803.72 × 1,497.40
  4. Step 4: Simplify right side
    2,756.34x = 5,695,673.33
  5. Step 5: Solve for x
    x = 5,695,673.33/2,756.34
  6. Step 6: Final answer
    x = 2,066.39

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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.