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Finding the Fourth Proportional to 2,047.12, 3,070.76 and 508.16

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Solution

The fourth proportional to 2,047.12, 3,070.76 and 508.16 is: 762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.12 : 3,070.76 = 508.16 : x
  2. Step 2: Convert to fraction form
    2,047.12/3,070.76 = 508.16/x
  3. Step 3: Cross multiply
    2,047.12x = 3,070.76 × 508.16
  4. Step 4: Simplify right side
    2,047.12x = 1,560,437.40
  5. Step 5: Solve for x
    x = 1,560,437.40/2,047.12
  6. Step 6: Final answer
    x = 762.26

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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.