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Finding the Fourth Proportional to 2,289.07, 3,430.94 and 1,053.88

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Solution

The fourth proportional to 2,289.07, 3,430.94 and 1,053.88 is: 1,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.07 : 3,430.94 = 1,053.88 : x
  2. Step 2: Convert to fraction form
    2,289.07/3,430.94 = 1,053.88/x
  3. Step 3: Cross multiply
    2,289.07x = 3,430.94 × 1,053.88
  4. Step 4: Simplify right side
    2,289.07x = 3,615,807.62
  5. Step 5: Solve for x
    x = 3,615,807.62/2,289.07
  6. Step 6: Final answer
    x = 1,579.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.