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Finding the Fourth Proportional to 1,535.99, 2,118.71 and 1,164.40

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Solution

The fourth proportional to 1,535.99, 2,118.71 and 1,164.40 is: 1,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.99 : 2,118.71 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    1,535.99/2,118.71 = 1,164.40/x
  3. Step 3: Cross multiply
    1,535.99x = 2,118.71 × 1,164.40
  4. Step 4: Simplify right side
    1,535.99x = 2,467,023.54
  5. Step 5: Solve for x
    x = 2,467,023.54/1,535.99
  6. Step 6: Final answer
    x = 1,606.15

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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.