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Finding the Fourth Proportional to 1,345.57, 2,018.36 and 371.67

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Solution

The fourth proportional to 1,345.57, 2,018.36 and 371.67 is: 557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.57 : 2,018.36 = 371.67 : x
  2. Step 2: Convert to fraction form
    1,345.57/2,018.36 = 371.67/x
  3. Step 3: Cross multiply
    1,345.57x = 2,018.36 × 371.67
  4. Step 4: Simplify right side
    1,345.57x = 750,166.48
  5. Step 5: Solve for x
    x = 750,166.48/1,345.57
  6. Step 6: Final answer
    x = 557.51

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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.