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Finding the Fourth Proportional to 1,569.66, 2,354.51 and 415.41

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Solution

The fourth proportional to 1,569.66, 2,354.51 and 415.41 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.66 : 2,354.51 = 415.41 : x
  2. Step 2: Convert to fraction form
    1,569.66/2,354.51 = 415.41/x
  3. Step 3: Cross multiply
    1,569.66x = 2,354.51 × 415.41
  4. Step 4: Simplify right side
    1,569.66x = 978,084.92
  5. Step 5: Solve for x
    x = 978,084.92/1,569.66
  6. Step 6: Final answer
    x = 623.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.