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Finding the Fourth Proportional to 3,032.84, 4,549.25 and 953.16

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Solution

The fourth proportional to 3,032.84, 4,549.25 and 953.16 is: 1,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.84 : 4,549.25 = 953.16 : x
  2. Step 2: Convert to fraction form
    3,032.84/4,549.25 = 953.16/x
  3. Step 3: Cross multiply
    3,032.84x = 4,549.25 × 953.16
  4. Step 4: Simplify right side
    3,032.84x = 4,336,165.51
  5. Step 5: Solve for x
    x = 4,336,165.51/3,032.84
  6. Step 6: Final answer
    x = 1,429.74

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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.