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Finding the Fourth Proportional to 1,710.10, 2,361.63 and 1,180.35

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Solution

The fourth proportional to 1,710.10, 2,361.63 and 1,180.35 is: 1,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.10 : 2,361.63 = 1,180.35 : x
  2. Step 2: Convert to fraction form
    1,710.10/2,361.63 = 1,180.35/x
  3. Step 3: Cross multiply
    1,710.10x = 2,361.63 × 1,180.35
  4. Step 4: Simplify right side
    1,710.10x = 2,787,549.97
  5. Step 5: Solve for x
    x = 2,787,549.97/1,710.10
  6. Step 6: Final answer
    x = 1,630.05

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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.