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Finding the Fourth Proportional to 2,036.40, 3,054.62 and 497.40

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Solution

The fourth proportional to 2,036.40, 3,054.62 and 497.40 is: 746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.40 : 3,054.62 = 497.40 : x
  2. Step 2: Convert to fraction form
    2,036.40/3,054.62 = 497.40/x
  3. Step 3: Cross multiply
    2,036.40x = 3,054.62 × 497.40
  4. Step 4: Simplify right side
    2,036.40x = 1,519,367.99
  5. Step 5: Solve for x
    x = 1,519,367.99/2,036.40
  6. Step 6: Final answer
    x = 746.10

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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.