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Finding the Fourth Proportional to 1,763.16, 2,646.39 and 1,106.34

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Solution

The fourth proportional to 1,763.16, 2,646.39 and 1,106.34 is: 1,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.16 : 2,646.39 = 1,106.34 : x
  2. Step 2: Convert to fraction form
    1,763.16/2,646.39 = 1,106.34/x
  3. Step 3: Cross multiply
    1,763.16x = 2,646.39 × 1,106.34
  4. Step 4: Simplify right side
    1,763.16x = 2,927,807.11
  5. Step 5: Solve for x
    x = 2,927,807.11/1,763.16
  6. Step 6: Final answer
    x = 1,660.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.