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Finding the Fourth Proportional to 3,056.46, 4,583.76 and 975.96

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Solution

The fourth proportional to 3,056.46, 4,583.76 and 975.96 is: 1,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.46 : 4,583.76 = 975.96 : x
  2. Step 2: Convert to fraction form
    3,056.46/4,583.76 = 975.96/x
  3. Step 3: Cross multiply
    3,056.46x = 4,583.76 × 975.96
  4. Step 4: Simplify right side
    3,056.46x = 4,473,566.41
  5. Step 5: Solve for x
    x = 4,473,566.41/3,056.46
  6. Step 6: Final answer
    x = 1,463.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.