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Finding the Fourth Proportional to 1,653.24, 2,281.50 and 907.22

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Solution

The fourth proportional to 1,653.24, 2,281.50 and 907.22 is: 1,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.24 : 2,281.50 = 907.22 : x
  2. Step 2: Convert to fraction form
    1,653.24/2,281.50 = 907.22/x
  3. Step 3: Cross multiply
    1,653.24x = 2,281.50 × 907.22
  4. Step 4: Simplify right side
    1,653.24x = 2,069,822.43
  5. Step 5: Solve for x
    x = 2,069,822.43/1,653.24
  6. Step 6: Final answer
    x = 1,251.98

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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.