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Finding the Fourth Proportional to 2,497.60, 3,746.94 and 1,036.36

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Solution

The fourth proportional to 2,497.60, 3,746.94 and 1,036.36 is: 1,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.60 : 3,746.94 = 1,036.36 : x
  2. Step 2: Convert to fraction form
    2,497.60/3,746.94 = 1,036.36/x
  3. Step 3: Cross multiply
    2,497.60x = 3,746.94 × 1,036.36
  4. Step 4: Simplify right side
    2,497.60x = 3,883,178.74
  5. Step 5: Solve for x
    x = 3,883,178.74/2,497.60
  6. Step 6: Final answer
    x = 1,554.76

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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.