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Finding the Fourth Proportional to 1,653.81, 2,282.23 and 907.77

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Solution

The fourth proportional to 1,653.81, 2,282.23 and 907.77 is: 1,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.81 : 2,282.23 = 907.77 : x
  2. Step 2: Convert to fraction form
    1,653.81/2,282.23 = 907.77/x
  3. Step 3: Cross multiply
    1,653.81x = 2,282.23 × 907.77
  4. Step 4: Simplify right side
    1,653.81x = 2,071,739.93
  5. Step 5: Solve for x
    x = 2,071,739.93/1,653.81
  6. Step 6: Final answer
    x = 1,252.71

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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.