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Finding the Fourth Proportional to 2,380, 3,569.58 and 1,455.38

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Solution

The fourth proportional to 2,380, 3,569.58 and 1,455.38 is: 2,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380 : 3,569.58 = 1,455.38 : x
  2. Step 2: Convert to fraction form
    2,380/3,569.58 = 1,455.38/x
  3. Step 3: Cross multiply
    2,380x = 3,569.58 × 1,455.38
  4. Step 4: Simplify right side
    2,380x = 5,195,095.34
  5. Step 5: Solve for x
    x = 5,195,095.34/2,380
  6. Step 6: Final answer
    x = 2,182.81

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