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Finding the Fourth Proportional to 1,415.34, 1,955.34 and 1,101.87

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Solution

The fourth proportional to 1,415.34, 1,955.34 and 1,101.87 is: 1,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.34 : 1,955.34 = 1,101.87 : x
  2. Step 2: Convert to fraction form
    1,415.34/1,955.34 = 1,101.87/x
  3. Step 3: Cross multiply
    1,415.34x = 1,955.34 × 1,101.87
  4. Step 4: Simplify right side
    1,415.34x = 2,154,530.49
  5. Step 5: Solve for x
    x = 2,154,530.49/1,415.34
  6. Step 6: Final answer
    x = 1,522.27

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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.