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Finding the Fourth Proportional to 1,605.88, 2,216.29 and 907.30

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Solution

The fourth proportional to 1,605.88, 2,216.29 and 907.30 is: 1,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.88 : 2,216.29 = 907.30 : x
  2. Step 2: Convert to fraction form
    1,605.88/2,216.29 = 907.30/x
  3. Step 3: Cross multiply
    1,605.88x = 2,216.29 × 907.30
  4. Step 4: Simplify right side
    1,605.88x = 2,010,828.84
  5. Step 5: Solve for x
    x = 2,010,828.84/1,605.88
  6. Step 6: Final answer
    x = 1,252.17

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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.