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Finding the Fourth Proportional to 1,632.95, 2,437.48 and 1,561.94

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Solution

The fourth proportional to 1,632.95, 2,437.48 and 1,561.94 is: 2,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.95 : 2,437.48 = 1,561.94 : x
  2. Step 2: Convert to fraction form
    1,632.95/2,437.48 = 1,561.94/x
  3. Step 3: Cross multiply
    1,632.95x = 2,437.48 × 1,561.94
  4. Step 4: Simplify right side
    1,632.95x = 3,807,197.51
  5. Step 5: Solve for x
    x = 3,807,197.51/1,632.95
  6. Step 6: Final answer
    x = 2,331.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.