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Finding the Fourth Proportional to 1,477.17, 2,211.03 and 1,061.64

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Solution

The fourth proportional to 1,477.17, 2,211.03 and 1,061.64 is: 1,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.17 : 2,211.03 = 1,061.64 : x
  2. Step 2: Convert to fraction form
    1,477.17/2,211.03 = 1,061.64/x
  3. Step 3: Cross multiply
    1,477.17x = 2,211.03 × 1,061.64
  4. Step 4: Simplify right side
    1,477.17x = 2,347,317.89
  5. Step 5: Solve for x
    x = 2,347,317.89/1,477.17
  6. Step 6: Final answer
    x = 1,589.06

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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.