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Finding the Fourth Proportional to 2,952.32, 4,430.00 and 1,310.00

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Solution

The fourth proportional to 2,952.32, 4,430.00 and 1,310.00 is: 1,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.32 : 4,430.00 = 1,310.00 : x
  2. Step 2: Convert to fraction form
    2,952.32/4,430.00 = 1,310.00/x
  3. Step 3: Cross multiply
    2,952.32x = 4,430.00 × 1,310.00
  4. Step 4: Simplify right side
    2,952.32x = 5,803,281.12
  5. Step 5: Solve for x
    x = 5,803,281.12/2,952.32
  6. Step 6: Final answer
    x = 1,965.67

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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.