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Finding the Fourth Proportional to 2,043.76, 3,065.64 and 504.76

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Solution

The fourth proportional to 2,043.76, 3,065.64 and 504.76 is: 757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.76 : 3,065.64 = 504.76 : x
  2. Step 2: Convert to fraction form
    2,043.76/3,065.64 = 504.76/x
  3. Step 3: Cross multiply
    2,043.76x = 3,065.64 × 504.76
  4. Step 4: Simplify right side
    2,043.76x = 1,547,412.45
  5. Step 5: Solve for x
    x = 1,547,412.45/2,043.76
  6. Step 6: Final answer
    x = 757.14

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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.