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Finding the Fourth Proportional to 2,497.12, 3,742.94 and 1,035.48

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Solution

The fourth proportional to 2,497.12, 3,742.94 and 1,035.48 is: 1,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.12 : 3,742.94 = 1,035.48 : x
  2. Step 2: Convert to fraction form
    2,497.12/3,742.94 = 1,035.48/x
  3. Step 3: Cross multiply
    2,497.12x = 3,742.94 × 1,035.48
  4. Step 4: Simplify right side
    2,497.12x = 3,875,739.51
  5. Step 5: Solve for x
    x = 3,875,739.51/2,497.12
  6. Step 6: Final answer
    x = 1,552.08

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