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Finding the Fourth Proportional to 1,665.69, 2,299.95 and 1,037.13

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Solution

The fourth proportional to 1,665.69, 2,299.95 and 1,037.13 is: 1,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.69 : 2,299.95 = 1,037.13 : x
  2. Step 2: Convert to fraction form
    1,665.69/2,299.95 = 1,037.13/x
  3. Step 3: Cross multiply
    1,665.69x = 2,299.95 × 1,037.13
  4. Step 4: Simplify right side
    1,665.69x = 2,385,347.14
  5. Step 5: Solve for x
    x = 2,385,347.14/1,665.69
  6. Step 6: Final answer
    x = 1,432.05

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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.