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Finding the Fourth Proportional to 2,646.71, 3,970.10 and 1,259.76

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Solution

The fourth proportional to 2,646.71, 3,970.10 and 1,259.76 is: 1,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.71 : 3,970.10 = 1,259.76 : x
  2. Step 2: Convert to fraction form
    2,646.71/3,970.10 = 1,259.76/x
  3. Step 3: Cross multiply
    2,646.71x = 3,970.10 × 1,259.76
  4. Step 4: Simplify right side
    2,646.71x = 5,001,373.18
  5. Step 5: Solve for x
    x = 5,001,373.18/2,646.71
  6. Step 6: Final answer
    x = 1,889.66

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1.5x scale

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.