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Finding the Fourth Proportional to 2,952.99, 4,430.11 and 1,565.95

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Solution

The fourth proportional to 2,952.99, 4,430.11 and 1,565.95 is: 2,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.99 : 4,430.11 = 1,565.95 : x
  2. Step 2: Convert to fraction form
    2,952.99/4,430.11 = 1,565.95/x
  3. Step 3: Cross multiply
    2,952.99x = 4,430.11 × 1,565.95
  4. Step 4: Simplify right side
    2,952.99x = 6,937,330.75
  5. Step 5: Solve for x
    x = 6,937,330.75/2,952.99
  6. Step 6: Final answer
    x = 2,349.26

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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.