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Finding the Fourth Proportional to 2,036.49, 3,055.12 and 925.99

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Solution

The fourth proportional to 2,036.49, 3,055.12 and 925.99 is: 1,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.49 : 3,055.12 = 925.99 : x
  2. Step 2: Convert to fraction form
    2,036.49/3,055.12 = 925.99/x
  3. Step 3: Cross multiply
    2,036.49x = 3,055.12 × 925.99
  4. Step 4: Simplify right side
    2,036.49x = 2,828,990.66
  5. Step 5: Solve for x
    x = 2,828,990.66/2,036.49
  6. Step 6: Final answer
    x = 1,389.15

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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.