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Finding the Fourth Proportional to 2,203.65, 3,041.55 and 1,457.64

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Solution

The fourth proportional to 2,203.65, 3,041.55 and 1,457.64 is: 2,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.65 : 3,041.55 = 1,457.64 : x
  2. Step 2: Convert to fraction form
    2,203.65/3,041.55 = 1,457.64/x
  3. Step 3: Cross multiply
    2,203.65x = 3,041.55 × 1,457.64
  4. Step 4: Simplify right side
    2,203.65x = 4,433,484.94
  5. Step 5: Solve for x
    x = 4,433,484.94/2,203.65
  6. Step 6: Final answer
    x = 2,011.88

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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.