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Finding the Fourth Proportional to 2,569.75, 3,545.44 and 1,574.53

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Solution

The fourth proportional to 2,569.75, 3,545.44 and 1,574.53 is: 2,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.75 : 3,545.44 = 1,574.53 : x
  2. Step 2: Convert to fraction form
    2,569.75/3,545.44 = 1,574.53/x
  3. Step 3: Cross multiply
    2,569.75x = 3,545.44 × 1,574.53
  4. Step 4: Simplify right side
    2,569.75x = 5,582,401.64
  5. Step 5: Solve for x
    x = 5,582,401.64/2,569.75
  6. Step 6: Final answer
    x = 2,172.35

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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.