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Finding the Fourth Proportional to 2,703.48, 3,730.82 and 1,585.08

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Solution

The fourth proportional to 2,703.48, 3,730.82 and 1,585.08 is: 2,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.48 : 3,730.82 = 1,585.08 : x
  2. Step 2: Convert to fraction form
    2,703.48/3,730.82 = 1,585.08/x
  3. Step 3: Cross multiply
    2,703.48x = 3,730.82 × 1,585.08
  4. Step 4: Simplify right side
    2,703.48x = 5,913,633.47
  5. Step 5: Solve for x
    x = 5,913,633.47/2,703.48
  6. Step 6: Final answer
    x = 2,187.42

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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.