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Finding the Fourth Proportional to 3,145.75, 4,341.14 and 1,748.50

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Solution

The fourth proportional to 3,145.75, 4,341.14 and 1,748.50 is: 2,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.75 : 4,341.14 = 1,748.50 : x
  2. Step 2: Convert to fraction form
    3,145.75/4,341.14 = 1,748.50/x
  3. Step 3: Cross multiply
    3,145.75x = 4,341.14 × 1,748.50
  4. Step 4: Simplify right side
    3,145.75x = 7,590,483.29
  5. Step 5: Solve for x
    x = 7,590,483.29/3,145.75
  6. Step 6: Final answer
    x = 2,412.93

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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.