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Finding the Fourth Proportional to 1,705.94, 2,545.60 and 1,522.07

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Solution

The fourth proportional to 1,705.94, 2,545.60 and 1,522.07 is: 2,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.94 : 2,545.60 = 1,522.07 : x
  2. Step 2: Convert to fraction form
    1,705.94/2,545.60 = 1,522.07/x
  3. Step 3: Cross multiply
    1,705.94x = 2,545.60 × 1,522.07
  4. Step 4: Simplify right side
    1,705.94x = 3,874,564.86
  5. Step 5: Solve for x
    x = 3,874,564.86/1,705.94
  6. Step 6: Final answer
    x = 2,271.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.