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Finding the Fourth Proportional to 2,985.79, 4,477.07 and 2,290.74

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Solution

The fourth proportional to 2,985.79, 4,477.07 and 2,290.74 is: 3,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.79 : 4,477.07 = 2,290.74 : x
  2. Step 2: Convert to fraction form
    2,985.79/4,477.07 = 2,290.74/x
  3. Step 3: Cross multiply
    2,985.79x = 4,477.07 × 2,290.74
  4. Step 4: Simplify right side
    2,985.79x = 10,255,769.49
  5. Step 5: Solve for x
    x = 10,255,769.49/2,985.79
  6. Step 6: Final answer
    x = 3,434.87

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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.