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Finding the Fourth Proportional to 1,542, 2,303.15 and 1,395.52

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Solution

The fourth proportional to 1,542, 2,303.15 and 1,395.52 is: 2,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542 : 2,303.15 = 1,395.52 : x
  2. Step 2: Convert to fraction form
    1,542/2,303.15 = 1,395.52/x
  3. Step 3: Cross multiply
    1,542x = 2,303.15 × 1,395.52
  4. Step 4: Simplify right side
    1,542x = 3,214,091.89
  5. Step 5: Solve for x
    x = 3,214,091.89/1,542
  6. Step 6: Final answer
    x = 2,084.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.