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Finding the Fourth Proportional to 2,303.76, 3,457.13 and 1,071.75

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Solution

The fourth proportional to 2,303.76, 3,457.13 and 1,071.75 is: 1,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.76 : 3,457.13 = 1,071.75 : x
  2. Step 2: Convert to fraction form
    2,303.76/3,457.13 = 1,071.75/x
  3. Step 3: Cross multiply
    2,303.76x = 3,457.13 × 1,071.75
  4. Step 4: Simplify right side
    2,303.76x = 3,705,173.72
  5. Step 5: Solve for x
    x = 3,705,173.72/2,303.76
  6. Step 6: Final answer
    x = 1,608.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.