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Finding the Fourth Proportional to 1,632.93, 2,253.43 and 924.77

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Solution

The fourth proportional to 1,632.93, 2,253.43 and 924.77 is: 1,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.93 : 2,253.43 = 924.77 : x
  2. Step 2: Convert to fraction form
    1,632.93/2,253.43 = 924.77/x
  3. Step 3: Cross multiply
    1,632.93x = 2,253.43 × 924.77
  4. Step 4: Simplify right side
    1,632.93x = 2,083,890.88
  5. Step 5: Solve for x
    x = 2,083,890.88/1,632.93
  6. Step 6: Final answer
    x = 1,276.17

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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.