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Finding the Fourth Proportional to 1,830.06, 2,525.52 and 1,084

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Solution

The fourth proportional to 1,830.06, 2,525.52 and 1,084 is: 1,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.06 : 2,525.52 = 1,084 : x
  2. Step 2: Convert to fraction form
    1,830.06/2,525.52 = 1,084/x
  3. Step 3: Cross multiply
    1,830.06x = 2,525.52 × 1,084
  4. Step 4: Simplify right side
    1,830.06x = 2,737,663.68
  5. Step 5: Solve for x
    x = 2,737,663.68/1,830.06
  6. Step 6: Final answer
    x = 1,495.94

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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.