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Finding the Fourth Proportional to 3,145.78, 4,341.12 and 1,748.50

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Solution

The fourth proportional to 3,145.78, 4,341.12 and 1,748.50 is: 2,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.78 : 4,341.12 = 1,748.50 : x
  2. Step 2: Convert to fraction form
    3,145.78/4,341.12 = 1,748.50/x
  3. Step 3: Cross multiply
    3,145.78x = 4,341.12 × 1,748.50
  4. Step 4: Simplify right side
    3,145.78x = 7,590,448.32
  5. Step 5: Solve for x
    x = 7,590,448.32/3,145.78
  6. Step 6: Final answer
    x = 2,412.90

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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.