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Finding the Fourth Proportional to 1,710.84, 2,566.26 and 615.21

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Solution

The fourth proportional to 1,710.84, 2,566.26 and 615.21 is: 922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.84 : 2,566.26 = 615.21 : x
  2. Step 2: Convert to fraction form
    1,710.84/2,566.26 = 615.21/x
  3. Step 3: Cross multiply
    1,710.84x = 2,566.26 × 615.21
  4. Step 4: Simplify right side
    1,710.84x = 1,578,788.81
  5. Step 5: Solve for x
    x = 1,578,788.81/1,710.84
  6. Step 6: Final answer
    x = 922.82

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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.