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Finding the Fourth Proportional to 2,751.46, 4,124.12 and 1,656.60

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Solution

The fourth proportional to 2,751.46, 4,124.12 and 1,656.60 is: 2,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.46 : 4,124.12 = 1,656.60 : x
  2. Step 2: Convert to fraction form
    2,751.46/4,124.12 = 1,656.60/x
  3. Step 3: Cross multiply
    2,751.46x = 4,124.12 × 1,656.60
  4. Step 4: Simplify right side
    2,751.46x = 6,832,017.19
  5. Step 5: Solve for x
    x = 6,832,017.19/2,751.46
  6. Step 6: Final answer
    x = 2,483.05

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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.