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Finding the Fourth Proportional to 3,031.54, 4,547.49 and 810.32

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Solution

The fourth proportional to 3,031.54, 4,547.49 and 810.32 is: 1,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.54 : 4,547.49 = 810.32 : x
  2. Step 2: Convert to fraction form
    3,031.54/4,547.49 = 810.32/x
  3. Step 3: Cross multiply
    3,031.54x = 4,547.49 × 810.32
  4. Step 4: Simplify right side
    3,031.54x = 3,684,926.46
  5. Step 5: Solve for x
    x = 3,684,926.46/3,031.54
  6. Step 6: Final answer
    x = 1,215.53

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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.