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Finding the Fourth Proportional to 1,852.16, 2,778.23 and 553.32

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Solution

The fourth proportional to 1,852.16, 2,778.23 and 553.32 is: 829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.16 : 2,778.23 = 553.32 : x
  2. Step 2: Convert to fraction form
    1,852.16/2,778.23 = 553.32/x
  3. Step 3: Cross multiply
    1,852.16x = 2,778.23 × 553.32
  4. Step 4: Simplify right side
    1,852.16x = 1,537,247.46
  5. Step 5: Solve for x
    x = 1,537,247.46/1,852.16
  6. Step 6: Final answer
    x = 829.98

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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.