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Finding the Fourth Proportional to 2,009.95, 3,014.92 and 623.24

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Solution

The fourth proportional to 2,009.95, 3,014.92 and 623.24 is: 934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.95 : 3,014.92 = 623.24 : x
  2. Step 2: Convert to fraction form
    2,009.95/3,014.92 = 623.24/x
  3. Step 3: Cross multiply
    2,009.95x = 3,014.92 × 623.24
  4. Step 4: Simplify right side
    2,009.95x = 1,879,032.71
  5. Step 5: Solve for x
    x = 1,879,032.71/2,009.95
  6. Step 6: Final answer
    x = 934.87

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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.