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Finding the Fourth Proportional to 1,875.56, 2,569.49 and 1,805.45

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Solution

The fourth proportional to 1,875.56, 2,569.49 and 1,805.45 is: 2,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.56 : 2,569.49 = 1,805.45 : x
  2. Step 2: Convert to fraction form
    1,875.56/2,569.49 = 1,805.45/x
  3. Step 3: Cross multiply
    1,875.56x = 2,569.49 × 1,805.45
  4. Step 4: Simplify right side
    1,875.56x = 4,639,083.12
  5. Step 5: Solve for x
    x = 4,639,083.12/1,875.56
  6. Step 6: Final answer
    x = 2,473.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.