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Finding the Fourth Proportional to 2,047.71, 2,824.10 and 1,730.23

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Solution

The fourth proportional to 2,047.71, 2,824.10 and 1,730.23 is: 2,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.71 : 2,824.10 = 1,730.23 : x
  2. Step 2: Convert to fraction form
    2,047.71/2,824.10 = 1,730.23/x
  3. Step 3: Cross multiply
    2,047.71x = 2,824.10 × 1,730.23
  4. Step 4: Simplify right side
    2,047.71x = 4,886,342.54
  5. Step 5: Solve for x
    x = 4,886,342.54/2,047.71
  6. Step 6: Final answer
    x = 2,386.25

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1.5x scale

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.