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Finding the Fourth Proportional to 1,880.27, 2,594.72 and 1,029.49

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Solution

The fourth proportional to 1,880.27, 2,594.72 and 1,029.49 is: 1,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.27 : 2,594.72 = 1,029.49 : x
  2. Step 2: Convert to fraction form
    1,880.27/2,594.72 = 1,029.49/x
  3. Step 3: Cross multiply
    1,880.27x = 2,594.72 × 1,029.49
  4. Step 4: Simplify right side
    1,880.27x = 2,671,238.29
  5. Step 5: Solve for x
    x = 2,671,238.29/1,880.27
  6. Step 6: Final answer
    x = 1,420.67

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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.