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Finding the Fourth Proportional to 2,574.42, 3,552.68 and 1,395.50

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Solution

The fourth proportional to 2,574.42, 3,552.68 and 1,395.50 is: 1,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.42 : 3,552.68 = 1,395.50 : x
  2. Step 2: Convert to fraction form
    2,574.42/3,552.68 = 1,395.50/x
  3. Step 3: Cross multiply
    2,574.42x = 3,552.68 × 1,395.50
  4. Step 4: Simplify right side
    2,574.42x = 4,957,740.20
  5. Step 5: Solve for x
    x = 4,957,740.20/2,574.42
  6. Step 6: Final answer
    x = 1,925.77

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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.