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Finding the Fourth Proportional to 2,368.14, 3,565.01 and 2,130

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Solution

The fourth proportional to 2,368.14, 3,565.01 and 2,130 is: 3,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.14 : 3,565.01 = 2,130 : x
  2. Step 2: Convert to fraction form
    2,368.14/3,565.01 = 2,130/x
  3. Step 3: Cross multiply
    2,368.14x = 3,565.01 × 2,130
  4. Step 4: Simplify right side
    2,368.14x = 7,593,460.65
  5. Step 5: Solve for x
    x = 7,593,460.65/2,368.14
  6. Step 6: Final answer
    x = 3,206.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.