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Finding the Fourth Proportional to 1,533.59, 2,118.26 and 1,510.55

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Solution

The fourth proportional to 1,533.59, 2,118.26 and 1,510.55 is: 2,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.59 : 2,118.26 = 1,510.55 : x
  2. Step 2: Convert to fraction form
    1,533.59/2,118.26 = 1,510.55/x
  3. Step 3: Cross multiply
    1,533.59x = 2,118.26 × 1,510.55
  4. Step 4: Simplify right side
    1,533.59x = 3,199,737.64
  5. Step 5: Solve for x
    x = 3,199,737.64/1,533.59
  6. Step 6: Final answer
    x = 2,086.44

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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.