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Finding the Fourth Proportional to 1,477.18, 2,038.80 and 848.13

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Solution

The fourth proportional to 1,477.18, 2,038.80 and 848.13 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.18 : 2,038.80 = 848.13 : x
  2. Step 2: Convert to fraction form
    1,477.18/2,038.80 = 848.13/x
  3. Step 3: Cross multiply
    1,477.18x = 2,038.80 × 848.13
  4. Step 4: Simplify right side
    1,477.18x = 1,729,167.44
  5. Step 5: Solve for x
    x = 1,729,167.44/1,477.18
  6. Step 6: Final answer
    x = 1,170.59

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