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Finding the Fourth Proportional to 3,005.40, 4,508.10 and 2,465.40

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Solution

The fourth proportional to 3,005.40, 4,508.10 and 2,465.40 is: 3,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.40 : 4,508.10 = 2,465.40 : x
  2. Step 2: Convert to fraction form
    3,005.40/4,508.10 = 2,465.40/x
  3. Step 3: Cross multiply
    3,005.40x = 4,508.10 × 2,465.40
  4. Step 4: Simplify right side
    3,005.40x = 11,114,269.74
  5. Step 5: Solve for x
    x = 11,114,269.74/3,005.40
  6. Step 6: Final answer
    x = 3,698.10

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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.