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Finding the Fourth Proportional to 3,461.88, 4,777.20 and 1,970.16

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Solution

The fourth proportional to 3,461.88, 4,777.20 and 1,970.16 is: 2,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.88 : 4,777.20 = 1,970.16 : x
  2. Step 2: Convert to fraction form
    3,461.88/4,777.20 = 1,970.16/x
  3. Step 3: Cross multiply
    3,461.88x = 4,777.20 × 1,970.16
  4. Step 4: Simplify right side
    3,461.88x = 9,411,848.35
  5. Step 5: Solve for x
    x = 9,411,848.35/3,461.88
  6. Step 6: Final answer
    x = 2,718.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.