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Finding the Fourth Proportional to 1,488.69, 2,063.30 and 1,461.03

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Solution

The fourth proportional to 1,488.69, 2,063.30 and 1,461.03 is: 2,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.69 : 2,063.30 = 1,461.03 : x
  2. Step 2: Convert to fraction form
    1,488.69/2,063.30 = 1,461.03/x
  3. Step 3: Cross multiply
    1,488.69x = 2,063.30 × 1,461.03
  4. Step 4: Simplify right side
    1,488.69x = 3,014,543.20
  5. Step 5: Solve for x
    x = 3,014,543.20/1,488.69
  6. Step 6: Final answer
    x = 2,024.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.