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Finding the Fourth Proportional to 1,917.90, 2,646.95 and 1,475.64

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Solution

The fourth proportional to 1,917.90, 2,646.95 and 1,475.64 is: 2,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.90 : 2,646.95 = 1,475.64 : x
  2. Step 2: Convert to fraction form
    1,917.90/2,646.95 = 1,475.64/x
  3. Step 3: Cross multiply
    1,917.90x = 2,646.95 × 1,475.64
  4. Step 4: Simplify right side
    1,917.90x = 3,905,937.92
  5. Step 5: Solve for x
    x = 3,905,937.92/1,917.90
  6. Step 6: Final answer
    x = 2,036.57

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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.