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Finding the Fourth Proportional to 1,522.86, 2,294.66 and 1,254.93

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Solution

The fourth proportional to 1,522.86, 2,294.66 and 1,254.93 is: 1,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.86 : 2,294.66 = 1,254.93 : x
  2. Step 2: Convert to fraction form
    1,522.86/2,294.66 = 1,254.93/x
  3. Step 3: Cross multiply
    1,522.86x = 2,294.66 × 1,254.93
  4. Step 4: Simplify right side
    1,522.86x = 2,879,631.40
  5. Step 5: Solve for x
    x = 2,879,631.40/1,522.86
  6. Step 6: Final answer
    x = 1,890.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.