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Finding the Fourth Proportional to 1,800.90, 2,484.56 and 1,137.50

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Solution

The fourth proportional to 1,800.90, 2,484.56 and 1,137.50 is: 1,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.90 : 2,484.56 = 1,137.50 : x
  2. Step 2: Convert to fraction form
    1,800.90/2,484.56 = 1,137.50/x
  3. Step 3: Cross multiply
    1,800.90x = 2,484.56 × 1,137.50
  4. Step 4: Simplify right side
    1,800.90x = 2,826,187
  5. Step 5: Solve for x
    x = 2,826,187/1,800.90
  6. Step 6: Final answer
    x = 1,569.32

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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.