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Finding the Fourth Proportional to 2,442.57, 3,658.35 and 1,890.36

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Solution

The fourth proportional to 2,442.57, 3,658.35 and 1,890.36 is: 2,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.57 : 3,658.35 = 1,890.36 : x
  2. Step 2: Convert to fraction form
    2,442.57/3,658.35 = 1,890.36/x
  3. Step 3: Cross multiply
    2,442.57x = 3,658.35 × 1,890.36
  4. Step 4: Simplify right side
    2,442.57x = 6,915,598.51
  5. Step 5: Solve for x
    x = 6,915,598.51/2,442.57
  6. Step 6: Final answer
    x = 2,831.28

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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.