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Finding the Fourth Proportional to 2,035.08, 3,050.53 and 925.27

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Solution

The fourth proportional to 2,035.08, 3,050.53 and 925.27 is: 1,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.08 : 3,050.53 = 925.27 : x
  2. Step 2: Convert to fraction form
    2,035.08/3,050.53 = 925.27/x
  3. Step 3: Cross multiply
    2,035.08x = 3,050.53 × 925.27
  4. Step 4: Simplify right side
    2,035.08x = 2,822,570.11
  5. Step 5: Solve for x
    x = 2,822,570.11/2,035.08
  6. Step 6: Final answer
    x = 1,386.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.