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Finding the Fourth Proportional to 2,203.53, 3,041.36 and 1,457.59

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Solution

The fourth proportional to 2,203.53, 3,041.36 and 1,457.59 is: 2,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.53 : 3,041.36 = 1,457.59 : x
  2. Step 2: Convert to fraction form
    2,203.53/3,041.36 = 1,457.59/x
  3. Step 3: Cross multiply
    2,203.53x = 3,041.36 × 1,457.59
  4. Step 4: Simplify right side
    2,203.53x = 4,433,055.92
  5. Step 5: Solve for x
    x = 4,433,055.92/2,203.53
  6. Step 6: Final answer
    x = 2,011.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.