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Finding the Fourth Proportional to 2,948.64, 4,070.76 and 1,770

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Solution

The fourth proportional to 2,948.64, 4,070.76 and 1,770 is: 2,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.64 : 4,070.76 = 1,770 : x
  2. Step 2: Convert to fraction form
    2,948.64/4,070.76 = 1,770/x
  3. Step 3: Cross multiply
    2,948.64x = 4,070.76 × 1,770
  4. Step 4: Simplify right side
    2,948.64x = 7,205,245.20
  5. Step 5: Solve for x
    x = 7,205,245.20/2,948.64
  6. Step 6: Final answer
    x = 2,443.58

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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.