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Finding the Fourth Proportional to 1,830.56, 2,526.21 and 1,084.51

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Solution

The fourth proportional to 1,830.56, 2,526.21 and 1,084.51 is: 1,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.56 : 2,526.21 = 1,084.51 : x
  2. Step 2: Convert to fraction form
    1,830.56/2,526.21 = 1,084.51/x
  3. Step 3: Cross multiply
    1,830.56x = 2,526.21 × 1,084.51
  4. Step 4: Simplify right side
    1,830.56x = 2,739,700.01
  5. Step 5: Solve for x
    x = 2,739,700.01/1,830.56
  6. Step 6: Final answer
    x = 1,496.65

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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.