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Finding the Fourth Proportional to 2,674.44, 4,011.67 and 1,031.76

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Solution

The fourth proportional to 2,674.44, 4,011.67 and 1,031.76 is: 1,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.44 : 4,011.67 = 1,031.76 : x
  2. Step 2: Convert to fraction form
    2,674.44/4,011.67 = 1,031.76/x
  3. Step 3: Cross multiply
    2,674.44x = 4,011.67 × 1,031.76
  4. Step 4: Simplify right side
    2,674.44x = 4,139,075.48
  5. Step 5: Solve for x
    x = 4,139,075.48/2,674.44
  6. Step 6: Final answer
    x = 1,547.64

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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.