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Finding the Fourth Proportional to 3,031.81, 4,547.71 and 840.53

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Solution

The fourth proportional to 3,031.81, 4,547.71 and 840.53 is: 1,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.81 : 4,547.71 = 840.53 : x
  2. Step 2: Convert to fraction form
    3,031.81/4,547.71 = 840.53/x
  3. Step 3: Cross multiply
    3,031.81x = 4,547.71 × 840.53
  4. Step 4: Simplify right side
    3,031.81x = 3,822,486.69
  5. Step 5: Solve for x
    x = 3,822,486.69/3,031.81
  6. Step 6: Final answer
    x = 1,260.79

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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.