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Finding the Fourth Proportional to 3,030.14, 4,536.74 and 1,638.50

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Solution

The fourth proportional to 3,030.14, 4,536.74 and 1,638.50 is: 2,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.14 : 4,536.74 = 1,638.50 : x
  2. Step 2: Convert to fraction form
    3,030.14/4,536.74 = 1,638.50/x
  3. Step 3: Cross multiply
    3,030.14x = 4,536.74 × 1,638.50
  4. Step 4: Simplify right side
    3,030.14x = 7,433,417.61
  5. Step 5: Solve for x
    x = 7,433,417.61/3,030.14
  6. Step 6: Final answer
    x = 2,453.16

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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.