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Finding the Fourth Proportional to 1,693.51, 2,541.02 and 1,077.05

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Solution

The fourth proportional to 1,693.51, 2,541.02 and 1,077.05 is: 1,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.51 : 2,541.02 = 1,077.05 : x
  2. Step 2: Convert to fraction form
    1,693.51/2,541.02 = 1,077.05/x
  3. Step 3: Cross multiply
    1,693.51x = 2,541.02 × 1,077.05
  4. Step 4: Simplify right side
    1,693.51x = 2,736,805.59
  5. Step 5: Solve for x
    x = 2,736,805.59/1,693.51
  6. Step 6: Final answer
    x = 1,616.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.