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Finding the Fourth Proportional to 1,763.82, 2,643.60 and 652.35

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Solution

The fourth proportional to 1,763.82, 2,643.60 and 652.35 is: 977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.82 : 2,643.60 = 652.35 : x
  2. Step 2: Convert to fraction form
    1,763.82/2,643.60 = 652.35/x
  3. Step 3: Cross multiply
    1,763.82x = 2,643.60 × 652.35
  4. Step 4: Simplify right side
    1,763.82x = 1,724,552.46
  5. Step 5: Solve for x
    x = 1,724,552.46/1,763.82
  6. Step 6: Final answer
    x = 977.74

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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.