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Finding the Fourth Proportional to 3,056.81, 4,585.47 and 977.11

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Solution

The fourth proportional to 3,056.81, 4,585.47 and 977.11 is: 1,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.81 : 4,585.47 = 977.11 : x
  2. Step 2: Convert to fraction form
    3,056.81/4,585.47 = 977.11/x
  3. Step 3: Cross multiply
    3,056.81x = 4,585.47 × 977.11
  4. Step 4: Simplify right side
    3,056.81x = 4,480,508.59
  5. Step 5: Solve for x
    x = 4,480,508.59/3,056.81
  6. Step 6: Final answer
    x = 1,465.75

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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.