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Finding the Fourth Proportional to 1,533.80, 2,117.12 and 1,455.43

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Solution

The fourth proportional to 1,533.80, 2,117.12 and 1,455.43 is: 2,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.80 : 2,117.12 = 1,455.43 : x
  2. Step 2: Convert to fraction form
    1,533.80/2,117.12 = 1,455.43/x
  3. Step 3: Cross multiply
    1,533.80x = 2,117.12 × 1,455.43
  4. Step 4: Simplify right side
    1,533.80x = 3,081,319.96
  5. Step 5: Solve for x
    x = 3,081,319.96/1,533.80
  6. Step 6: Final answer
    x = 2,008.95

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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.