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Finding the Fourth Proportional to 3,374.34, 4,655.70 and 1,957.08

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Solution

The fourth proportional to 3,374.34, 4,655.70 and 1,957.08 is: 2,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.34 : 4,655.70 = 1,957.08 : x
  2. Step 2: Convert to fraction form
    3,374.34/4,655.70 = 1,957.08/x
  3. Step 3: Cross multiply
    3,374.34x = 4,655.70 × 1,957.08
  4. Step 4: Simplify right side
    3,374.34x = 9,111,577.36
  5. Step 5: Solve for x
    x = 9,111,577.36/3,374.34
  6. Step 6: Final answer
    x = 2,700.25

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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.