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Finding the Fourth Proportional to 2,421.81, 3,627.50 and 1,033.34

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Solution

The fourth proportional to 2,421.81, 3,627.50 and 1,033.34 is: 1,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.81 : 3,627.50 = 1,033.34 : x
  2. Step 2: Convert to fraction form
    2,421.81/3,627.50 = 1,033.34/x
  3. Step 3: Cross multiply
    2,421.81x = 3,627.50 × 1,033.34
  4. Step 4: Simplify right side
    2,421.81x = 3,748,417.55
  5. Step 5: Solve for x
    x = 3,748,417.55/2,421.81
  6. Step 6: Final answer
    x = 1,547.78

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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.