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Finding the Fourth Proportional to 4,602.76, 6,900.32 and 1,827.72

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Solution

The fourth proportional to 4,602.76, 6,900.32 and 1,827.72 is: 2,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.76 : 6,900.32 = 1,827.72 : x
  2. Step 2: Convert to fraction form
    4,602.76/6,900.32 = 1,827.72/x
  3. Step 3: Cross multiply
    4,602.76x = 6,900.32 × 1,827.72
  4. Step 4: Simplify right side
    4,602.76x = 12,611,852.87
  5. Step 5: Solve for x
    x = 12,611,852.87/4,602.76
  6. Step 6: Final answer
    x = 2,740.06

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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.