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Finding the Fourth Proportional to 2,303.96, 3,178.65 and 1,407.45

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Solution

The fourth proportional to 2,303.96, 3,178.65 and 1,407.45 is: 1,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.96 : 3,178.65 = 1,407.45 : x
  2. Step 2: Convert to fraction form
    2,303.96/3,178.65 = 1,407.45/x
  3. Step 3: Cross multiply
    2,303.96x = 3,178.65 × 1,407.45
  4. Step 4: Simplify right side
    2,303.96x = 4,473,808.14
  5. Step 5: Solve for x
    x = 4,473,808.14/2,303.96
  6. Step 6: Final answer
    x = 1,941.79

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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.