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Finding the Fourth Proportional to 2,035.16, 2,807.90 and 1,404.69

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Solution

The fourth proportional to 2,035.16, 2,807.90 and 1,404.69 is: 1,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.16 : 2,807.90 = 1,404.69 : x
  2. Step 2: Convert to fraction form
    2,035.16/2,807.90 = 1,404.69/x
  3. Step 3: Cross multiply
    2,035.16x = 2,807.90 × 1,404.69
  4. Step 4: Simplify right side
    2,035.16x = 3,944,238.49
  5. Step 5: Solve for x
    x = 3,944,238.49/2,035.16
  6. Step 6: Final answer
    x = 1,938.05

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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.