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Finding the Fourth Proportional to 1,417.66, 2,122.95 and 896.11

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Solution

The fourth proportional to 1,417.66, 2,122.95 and 896.11 is: 1,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.66 : 2,122.95 = 896.11 : x
  2. Step 2: Convert to fraction form
    1,417.66/2,122.95 = 896.11/x
  3. Step 3: Cross multiply
    1,417.66x = 2,122.95 × 896.11
  4. Step 4: Simplify right side
    1,417.66x = 1,902,396.72
  5. Step 5: Solve for x
    x = 1,902,396.72/1,417.66
  6. Step 6: Final answer
    x = 1,341.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.