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Finding the Fourth Proportional to 2,703.05, 3,730.21 and 1,461.05

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Solution

The fourth proportional to 2,703.05, 3,730.21 and 1,461.05 is: 2,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.05 : 3,730.21 = 1,461.05 : x
  2. Step 2: Convert to fraction form
    2,703.05/3,730.21 = 1,461.05/x
  3. Step 3: Cross multiply
    2,703.05x = 3,730.21 × 1,461.05
  4. Step 4: Simplify right side
    2,703.05x = 5,450,023.32
  5. Step 5: Solve for x
    x = 5,450,023.32/2,703.05
  6. Step 6: Final answer
    x = 2,016.25

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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.