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Finding the Fourth Proportional to 3,032.94, 4,549.20 and 841.69

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Solution

The fourth proportional to 3,032.94, 4,549.20 and 841.69 is: 1,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.94 : 4,549.20 = 841.69 : x
  2. Step 2: Convert to fraction form
    3,032.94/4,549.20 = 841.69/x
  3. Step 3: Cross multiply
    3,032.94x = 4,549.20 × 841.69
  4. Step 4: Simplify right side
    3,032.94x = 3,828,995.51
  5. Step 5: Solve for x
    x = 3,828,995.51/3,032.94
  6. Step 6: Final answer
    x = 1,262.47

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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.