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Finding the Fourth Proportional to 2,698.96, 4,056.04 and 1,603.52

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Solution

The fourth proportional to 2,698.96, 4,056.04 and 1,603.52 is: 2,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.96 : 4,056.04 = 1,603.52 : x
  2. Step 2: Convert to fraction form
    2,698.96/4,056.04 = 1,603.52/x
  3. Step 3: Cross multiply
    2,698.96x = 4,056.04 × 1,603.52
  4. Step 4: Simplify right side
    2,698.96x = 6,503,941.26
  5. Step 5: Solve for x
    x = 6,503,941.26/2,698.96
  6. Step 6: Final answer
    x = 2,409.80

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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.