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Finding the Fourth Proportional to 1,800.25, 2,484 and 1,091.90

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Solution

The fourth proportional to 1,800.25, 2,484 and 1,091.90 is: 1,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.25 : 2,484 = 1,091.90 : x
  2. Step 2: Convert to fraction form
    1,800.25/2,484 = 1,091.90/x
  3. Step 3: Cross multiply
    1,800.25x = 2,484 × 1,091.90
  4. Step 4: Simplify right side
    1,800.25x = 2,712,285.81
  5. Step 5: Solve for x
    x = 2,712,285.81/1,800.25
  6. Step 6: Final answer
    x = 1,506.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.