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Finding the Fourth Proportional to 3,160.07, 4,740.12 and 1,404.60

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Solution

The fourth proportional to 3,160.07, 4,740.12 and 1,404.60 is: 2,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.07 : 4,740.12 = 1,404.60 : x
  2. Step 2: Convert to fraction form
    3,160.07/4,740.12 = 1,404.60/x
  3. Step 3: Cross multiply
    3,160.07x = 4,740.12 × 1,404.60
  4. Step 4: Simplify right side
    3,160.07x = 6,657,972.55
  5. Step 5: Solve for x
    x = 6,657,972.55/3,160.07
  6. Step 6: Final answer
    x = 2,106.91

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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.