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Finding the Fourth Proportional to 1,773.76, 2,448.58 and 1,102.18

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Solution

The fourth proportional to 1,773.76, 2,448.58 and 1,102.18 is: 1,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.76 : 2,448.58 = 1,102.18 : x
  2. Step 2: Convert to fraction form
    1,773.76/2,448.58 = 1,102.18/x
  3. Step 3: Cross multiply
    1,773.76x = 2,448.58 × 1,102.18
  4. Step 4: Simplify right side
    1,773.76x = 2,698,775.90
  5. Step 5: Solve for x
    x = 2,698,775.90/1,773.76
  6. Step 6: Final answer
    x = 1,521.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.