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Finding the Fourth Proportional to 1,970.85, 2,956.04 and 510.11

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Solution

The fourth proportional to 1,970.85, 2,956.04 and 510.11 is: 765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.85 : 2,956.04 = 510.11 : x
  2. Step 2: Convert to fraction form
    1,970.85/2,956.04 = 510.11/x
  3. Step 3: Cross multiply
    1,970.85x = 2,956.04 × 510.11
  4. Step 4: Simplify right side
    1,970.85x = 1,507,888.23
  5. Step 5: Solve for x
    x = 1,507,888.23/1,970.85
  6. Step 6: Final answer
    x = 765.10

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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.