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Finding the Fourth Proportional to 2,221, 3,064.98 and 1,289.50

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Solution

The fourth proportional to 2,221, 3,064.98 and 1,289.50 is: 1,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221 : 3,064.98 = 1,289.50 : x
  2. Step 2: Convert to fraction form
    2,221/3,064.98 = 1,289.50/x
  3. Step 3: Cross multiply
    2,221x = 3,064.98 × 1,289.50
  4. Step 4: Simplify right side
    2,221x = 3,952,291.71
  5. Step 5: Solve for x
    x = 3,952,291.71/2,221
  6. Step 6: Final answer
    x = 1,779.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.