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Finding the Fourth Proportional to 1,751.49, 2,416.28 and 1,078.70

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Solution

The fourth proportional to 1,751.49, 2,416.28 and 1,078.70 is: 1,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.49 : 2,416.28 = 1,078.70 : x
  2. Step 2: Convert to fraction form
    1,751.49/2,416.28 = 1,078.70/x
  3. Step 3: Cross multiply
    1,751.49x = 2,416.28 × 1,078.70
  4. Step 4: Simplify right side
    1,751.49x = 2,606,423.76
  5. Step 5: Solve for x
    x = 2,606,423.76/1,751.49
  6. Step 6: Final answer
    x = 1,488.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.