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Finding the Fourth Proportional to 1,653.83, 2,282.21 and 907.78

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Solution

The fourth proportional to 1,653.83, 2,282.21 and 907.78 is: 1,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.83 : 2,282.21 = 907.78 : x
  2. Step 2: Convert to fraction form
    1,653.83/2,282.21 = 907.78/x
  3. Step 3: Cross multiply
    1,653.83x = 2,282.21 × 907.78
  4. Step 4: Simplify right side
    1,653.83x = 2,071,732.09
  5. Step 5: Solve for x
    x = 2,071,732.09/1,653.83
  6. Step 6: Final answer
    x = 1,252.69

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1.5x scale

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.