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Finding the Fourth Proportional to 1,852.64, 2,778.80 and 554.40

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Solution

The fourth proportional to 1,852.64, 2,778.80 and 554.40 is: 831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.64 : 2,778.80 = 554.40 : x
  2. Step 2: Convert to fraction form
    1,852.64/2,778.80 = 554.40/x
  3. Step 3: Cross multiply
    1,852.64x = 2,778.80 × 554.40
  4. Step 4: Simplify right side
    1,852.64x = 1,540,566.72
  5. Step 5: Solve for x
    x = 1,540,566.72/1,852.64
  6. Step 6: Final answer
    x = 831.55

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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.