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Finding the Fourth Proportional to 2,336.63, 3,504.94 and 876.47

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Solution

The fourth proportional to 2,336.63, 3,504.94 and 876.47 is: 1,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.63 : 3,504.94 = 876.47 : x
  2. Step 2: Convert to fraction form
    2,336.63/3,504.94 = 876.47/x
  3. Step 3: Cross multiply
    2,336.63x = 3,504.94 × 876.47
  4. Step 4: Simplify right side
    2,336.63x = 3,071,955.05
  5. Step 5: Solve for x
    x = 3,071,955.05/2,336.63
  6. Step 6: Final answer
    x = 1,314.70

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1.5x scale

Why These Related Problems?

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