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Finding the Fourth Proportional to 1,347.76, 1,857.18 and 974.08

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Solution

The fourth proportional to 1,347.76, 1,857.18 and 974.08 is: 1,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.76 : 1,857.18 = 974.08 : x
  2. Step 2: Convert to fraction form
    1,347.76/1,857.18 = 974.08/x
  3. Step 3: Cross multiply
    1,347.76x = 1,857.18 × 974.08
  4. Step 4: Simplify right side
    1,347.76x = 1,809,041.89
  5. Step 5: Solve for x
    x = 1,809,041.89/1,347.76
  6. Step 6: Final answer
    x = 1,342.26

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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.