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Finding the Fourth Proportional to 1,970.84, 2,956.04 and 510.12

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Solution

The fourth proportional to 1,970.84, 2,956.04 and 510.12 is: 765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.84 : 2,956.04 = 510.12 : x
  2. Step 2: Convert to fraction form
    1,970.84/2,956.04 = 510.12/x
  3. Step 3: Cross multiply
    1,970.84x = 2,956.04 × 510.12
  4. Step 4: Simplify right side
    1,970.84x = 1,507,935.12
  5. Step 5: Solve for x
    x = 1,507,935.12/1,970.84
  6. Step 6: Final answer
    x = 765.12

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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.