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Finding the Fourth Proportional to 2,726.71, 3,762.41 and 1,607.50

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Solution

The fourth proportional to 2,726.71, 3,762.41 and 1,607.50 is: 2,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.71 : 3,762.41 = 1,607.50 : x
  2. Step 2: Convert to fraction form
    2,726.71/3,762.41 = 1,607.50/x
  3. Step 3: Cross multiply
    2,726.71x = 3,762.41 × 1,607.50
  4. Step 4: Simplify right side
    2,726.71x = 6,048,047.23
  5. Step 5: Solve for x
    x = 6,048,047.23/2,726.71
  6. Step 6: Final answer
    x = 2,218.08

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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.