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Finding the Fourth Proportional to 1,436.34, 2,156.34 and 1,377.84

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Solution

The fourth proportional to 1,436.34, 2,156.34 and 1,377.84 is: 2,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.34 : 2,156.34 = 1,377.84 : x
  2. Step 2: Convert to fraction form
    1,436.34/2,156.34 = 1,377.84/x
  3. Step 3: Cross multiply
    1,436.34x = 2,156.34 × 1,377.84
  4. Step 4: Simplify right side
    1,436.34x = 2,971,091.51
  5. Step 5: Solve for x
    x = 2,971,091.51/1,436.34
  6. Step 6: Final answer
    x = 2,068.52

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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.