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Finding the Fourth Proportional to 1,880.32, 2,596 and 1,283.52

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Solution

The fourth proportional to 1,880.32, 2,596 and 1,283.52 is: 1,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.32 : 2,596 = 1,283.52 : x
  2. Step 2: Convert to fraction form
    1,880.32/2,596 = 1,283.52/x
  3. Step 3: Cross multiply
    1,880.32x = 2,596 × 1,283.52
  4. Step 4: Simplify right side
    1,880.32x = 3,332,017.92
  5. Step 5: Solve for x
    x = 3,332,017.92/1,880.32
  6. Step 6: Final answer
    x = 1,772.05

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Why These Related Problems?

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