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Finding the Fourth Proportional to 3,056.60, 4,585.46 and 976.68

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Solution

The fourth proportional to 3,056.60, 4,585.46 and 976.68 is: 1,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.60 : 4,585.46 = 976.68 : x
  2. Step 2: Convert to fraction form
    3,056.60/4,585.46 = 976.68/x
  3. Step 3: Cross multiply
    3,056.60x = 4,585.46 × 976.68
  4. Step 4: Simplify right side
    3,056.60x = 4,478,522.19
  5. Step 5: Solve for x
    x = 4,478,522.19/3,056.60
  6. Step 6: Final answer
    x = 1,465.20

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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.