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Finding the Fourth Proportional to 3,153.60, 4,730.40 and 1,509.30

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Solution

The fourth proportional to 3,153.60, 4,730.40 and 1,509.30 is: 2,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.60 : 4,730.40 = 1,509.30 : x
  2. Step 2: Convert to fraction form
    3,153.60/4,730.40 = 1,509.30/x
  3. Step 3: Cross multiply
    3,153.60x = 4,730.40 × 1,509.30
  4. Step 4: Simplify right side
    3,153.60x = 7,139,592.72
  5. Step 5: Solve for x
    x = 7,139,592.72/3,153.60
  6. Step 6: Final answer
    x = 2,263.95

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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.