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Finding the Fourth Proportional to 2,484.55, 3,725.47 and 924.49

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Solution

The fourth proportional to 2,484.55, 3,725.47 and 924.49 is: 1,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.55 : 3,725.47 = 924.49 : x
  2. Step 2: Convert to fraction form
    2,484.55/3,725.47 = 924.49/x
  3. Step 3: Cross multiply
    2,484.55x = 3,725.47 × 924.49
  4. Step 4: Simplify right side
    2,484.55x = 3,444,159.76
  5. Step 5: Solve for x
    x = 3,444,159.76/2,484.55
  6. Step 6: Final answer
    x = 1,386.23

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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.