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Finding the Fourth Proportional to 3,005.09, 4,507.88 and 924.93

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Solution

The fourth proportional to 3,005.09, 4,507.88 and 924.93 is: 1,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.09 : 4,507.88 = 924.93 : x
  2. Step 2: Convert to fraction form
    3,005.09/4,507.88 = 924.93/x
  3. Step 3: Cross multiply
    3,005.09x = 4,507.88 × 924.93
  4. Step 4: Simplify right side
    3,005.09x = 4,169,468.82
  5. Step 5: Solve for x
    x = 4,169,468.82/3,005.09
  6. Step 6: Final answer
    x = 1,387.47

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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.