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Finding the Fourth Proportional to 3,602.13, 4,970.93 and 1,946.13

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Solution

The fourth proportional to 3,602.13, 4,970.93 and 1,946.13 is: 2,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.13 : 4,970.93 = 1,946.13 : x
  2. Step 2: Convert to fraction form
    3,602.13/4,970.93 = 1,946.13/x
  3. Step 3: Cross multiply
    3,602.13x = 4,970.93 × 1,946.13
  4. Step 4: Simplify right side
    3,602.13x = 9,674,076.00
  5. Step 5: Solve for x
    x = 9,674,076.00/3,602.13
  6. Step 6: Final answer
    x = 2,685.65

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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.