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Finding the Fourth Proportional to 2,303.51, 3,178.07 and 1,406.92

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Solution

The fourth proportional to 2,303.51, 3,178.07 and 1,406.92 is: 1,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.51 : 3,178.07 = 1,406.92 : x
  2. Step 2: Convert to fraction form
    2,303.51/3,178.07 = 1,406.92/x
  3. Step 3: Cross multiply
    2,303.51x = 3,178.07 × 1,406.92
  4. Step 4: Simplify right side
    2,303.51x = 4,471,287.18
  5. Step 5: Solve for x
    x = 4,471,287.18/2,303.51
  6. Step 6: Final answer
    x = 1,941.08

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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.