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Finding the Fourth Proportional to 2,381.16, 3,572 and 1,064.88

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Solution

The fourth proportional to 2,381.16, 3,572 and 1,064.88 is: 1,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.16 : 3,572 = 1,064.88 : x
  2. Step 2: Convert to fraction form
    2,381.16/3,572 = 1,064.88/x
  3. Step 3: Cross multiply
    2,381.16x = 3,572 × 1,064.88
  4. Step 4: Simplify right side
    2,381.16x = 3,803,751.36
  5. Step 5: Solve for x
    x = 3,803,751.36/2,381.16
  6. Step 6: Final answer
    x = 1,597.44

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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.