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Finding the Fourth Proportional to 2,752.10, 3,798.64 and 1,703.58

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Solution

The fourth proportional to 2,752.10, 3,798.64 and 1,703.58 is: 2,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.10 : 3,798.64 = 1,703.58 : x
  2. Step 2: Convert to fraction form
    2,752.10/3,798.64 = 1,703.58/x
  3. Step 3: Cross multiply
    2,752.10x = 3,798.64 × 1,703.58
  4. Step 4: Simplify right side
    2,752.10x = 6,471,287.13
  5. Step 5: Solve for x
    x = 6,471,287.13/2,752.10
  6. Step 6: Final answer
    x = 2,351.40

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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.