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Finding the Fourth Proportional to 2,430, 3,647.05 and 969.15

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Solution

The fourth proportional to 2,430, 3,647.05 and 969.15 is: 1,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 3,647.05 = 969.15 : x
  2. Step 2: Convert to fraction form
    2,430/3,647.05 = 969.15/x
  3. Step 3: Cross multiply
    2,430x = 3,647.05 × 969.15
  4. Step 4: Simplify right side
    2,430x = 3,534,547.36
  5. Step 5: Solve for x
    x = 3,534,547.36/2,430
  6. Step 6: Final answer
    x = 1,454.55

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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.