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Finding the Fourth Proportional to 2,298.88, 3,174.30 and 1,415.17

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Solution

The fourth proportional to 2,298.88, 3,174.30 and 1,415.17 is: 1,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.88 : 3,174.30 = 1,415.17 : x
  2. Step 2: Convert to fraction form
    2,298.88/3,174.30 = 1,415.17/x
  3. Step 3: Cross multiply
    2,298.88x = 3,174.30 × 1,415.17
  4. Step 4: Simplify right side
    2,298.88x = 4,492,174.13
  5. Step 5: Solve for x
    x = 4,492,174.13/2,298.88
  6. Step 6: Final answer
    x = 1,954.07

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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.