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Finding the Fourth Proportional to 1,818.40, 2,509.54 and 1,021.80

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Solution

The fourth proportional to 1,818.40, 2,509.54 and 1,021.80 is: 1,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.40 : 2,509.54 = 1,021.80 : x
  2. Step 2: Convert to fraction form
    1,818.40/2,509.54 = 1,021.80/x
  3. Step 3: Cross multiply
    1,818.40x = 2,509.54 × 1,021.80
  4. Step 4: Simplify right side
    1,818.40x = 2,564,247.97
  5. Step 5: Solve for x
    x = 2,564,247.97/1,818.40
  6. Step 6: Final answer
    x = 1,410.17

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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.