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Finding the Fourth Proportional to 1,533.80, 2,116.66 and 835.18

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Solution

The fourth proportional to 1,533.80, 2,116.66 and 835.18 is: 1,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.80 : 2,116.66 = 835.18 : x
  2. Step 2: Convert to fraction form
    1,533.80/2,116.66 = 835.18/x
  3. Step 3: Cross multiply
    1,533.80x = 2,116.66 × 835.18
  4. Step 4: Simplify right side
    1,533.80x = 1,767,792.10
  5. Step 5: Solve for x
    x = 1,767,792.10/1,533.80
  6. Step 6: Final answer
    x = 1,152.56

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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.