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Finding the Fourth Proportional to 2,385.08, 3,578.06 and 924.12

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Solution

The fourth proportional to 2,385.08, 3,578.06 and 924.12 is: 1,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.08 : 3,578.06 = 924.12 : x
  2. Step 2: Convert to fraction form
    2,385.08/3,578.06 = 924.12/x
  3. Step 3: Cross multiply
    2,385.08x = 3,578.06 × 924.12
  4. Step 4: Simplify right side
    2,385.08x = 3,306,556.81
  5. Step 5: Solve for x
    x = 3,306,556.81/2,385.08
  6. Step 6: Final answer
    x = 1,386.35

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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.