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Finding the Fourth Proportional to 1,406.95, 1,941.72 and 934.01

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Solution

The fourth proportional to 1,406.95, 1,941.72 and 934.01 is: 1,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.95 : 1,941.72 = 934.01 : x
  2. Step 2: Convert to fraction form
    1,406.95/1,941.72 = 934.01/x
  3. Step 3: Cross multiply
    1,406.95x = 1,941.72 × 934.01
  4. Step 4: Simplify right side
    1,406.95x = 1,813,587.25
  5. Step 5: Solve for x
    x = 1,813,587.25/1,406.95
  6. Step 6: Final answer
    x = 1,289.02

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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.