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Finding the Fourth Proportional to 1,577.88, 2,176.70 and 948.11

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Solution

The fourth proportional to 1,577.88, 2,176.70 and 948.11 is: 1,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.88 : 2,176.70 = 948.11 : x
  2. Step 2: Convert to fraction form
    1,577.88/2,176.70 = 948.11/x
  3. Step 3: Cross multiply
    1,577.88x = 2,176.70 × 948.11
  4. Step 4: Simplify right side
    1,577.88x = 2,063,735.41
  5. Step 5: Solve for x
    x = 2,063,735.41/1,577.88
  6. Step 6: Final answer
    x = 1,307.92

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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.