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Finding the Fourth Proportional to 1,606.21, 2,216.55 and 907.59

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Solution

The fourth proportional to 1,606.21, 2,216.55 and 907.59 is: 1,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.21 : 2,216.55 = 907.59 : x
  2. Step 2: Convert to fraction form
    1,606.21/2,216.55 = 907.59/x
  3. Step 3: Cross multiply
    1,606.21x = 2,216.55 × 907.59
  4. Step 4: Simplify right side
    1,606.21x = 2,011,718.61
  5. Step 5: Solve for x
    x = 2,011,718.61/1,606.21
  6. Step 6: Final answer
    x = 1,252.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.