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Finding the Fourth Proportional to 1,871.48, 2,582.06 and 1,085.37

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Solution

The fourth proportional to 1,871.48, 2,582.06 and 1,085.37 is: 1,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.48 : 2,582.06 = 1,085.37 : x
  2. Step 2: Convert to fraction form
    1,871.48/2,582.06 = 1,085.37/x
  3. Step 3: Cross multiply
    1,871.48x = 2,582.06 × 1,085.37
  4. Step 4: Simplify right side
    1,871.48x = 2,802,490.46
  5. Step 5: Solve for x
    x = 2,802,490.46/1,871.48
  6. Step 6: Final answer
    x = 1,497.48

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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.