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Finding the Fourth Proportional to 1,706.01, 2,561.06 and 1,156.53

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Solution

The fourth proportional to 1,706.01, 2,561.06 and 1,156.53 is: 1,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.01 : 2,561.06 = 1,156.53 : x
  2. Step 2: Convert to fraction form
    1,706.01/2,561.06 = 1,156.53/x
  3. Step 3: Cross multiply
    1,706.01x = 2,561.06 × 1,156.53
  4. Step 4: Simplify right side
    1,706.01x = 2,961,929.92
  5. Step 5: Solve for x
    x = 2,961,929.92/1,706.01
  6. Step 6: Final answer
    x = 1,736.17

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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.