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Finding the Fourth Proportional to 2,036.67, 3,055.01 and 497.67

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Solution

The fourth proportional to 2,036.67, 3,055.01 and 497.67 is: 746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.67 : 3,055.01 = 497.67 : x
  2. Step 2: Convert to fraction form
    2,036.67/3,055.01 = 497.67/x
  3. Step 3: Cross multiply
    2,036.67x = 3,055.01 × 497.67
  4. Step 4: Simplify right side
    2,036.67x = 1,520,386.83
  5. Step 5: Solve for x
    x = 1,520,386.83/2,036.67
  6. Step 6: Final answer
    x = 746.51

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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.