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Finding the Fourth Proportional to 1,666.10, 2,486.13 and 1,518.74

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Solution

The fourth proportional to 1,666.10, 2,486.13 and 1,518.74 is: 2,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.10 : 2,486.13 = 1,518.74 : x
  2. Step 2: Convert to fraction form
    1,666.10/2,486.13 = 1,518.74/x
  3. Step 3: Cross multiply
    1,666.10x = 2,486.13 × 1,518.74
  4. Step 4: Simplify right side
    1,666.10x = 3,775,772.65
  5. Step 5: Solve for x
    x = 3,775,772.65/1,666.10
  6. Step 6: Final answer
    x = 2,266.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.