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Finding the Fourth Proportional to 2,683.76, 4,007.28 and 2,404.32

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Solution

The fourth proportional to 2,683.76, 4,007.28 and 2,404.32 is: 3,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.76 : 4,007.28 = 2,404.32 : x
  2. Step 2: Convert to fraction form
    2,683.76/4,007.28 = 2,404.32/x
  3. Step 3: Cross multiply
    2,683.76x = 4,007.28 × 2,404.32
  4. Step 4: Simplify right side
    2,683.76x = 9,634,783.45
  5. Step 5: Solve for x
    x = 9,634,783.45/2,683.76
  6. Step 6: Final answer
    x = 3,590.03

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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.