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Finding the Fourth Proportional to 2,390.70, 3,590.10 and 1,775.10

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Solution

The fourth proportional to 2,390.70, 3,590.10 and 1,775.10 is: 2,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.70 : 3,590.10 = 1,775.10 : x
  2. Step 2: Convert to fraction form
    2,390.70/3,590.10 = 1,775.10/x
  3. Step 3: Cross multiply
    2,390.70x = 3,590.10 × 1,775.10
  4. Step 4: Simplify right side
    2,390.70x = 6,372,786.51
  5. Step 5: Solve for x
    x = 6,372,786.51/2,390.70
  6. Step 6: Final answer
    x = 2,665.66

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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.