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Finding the Fourth Proportional to 1,395.42, 1,926.08 and 1,117.59

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Solution

The fourth proportional to 1,395.42, 1,926.08 and 1,117.59 is: 1,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.42 : 1,926.08 = 1,117.59 : x
  2. Step 2: Convert to fraction form
    1,395.42/1,926.08 = 1,117.59/x
  3. Step 3: Cross multiply
    1,395.42x = 1,926.08 × 1,117.59
  4. Step 4: Simplify right side
    1,395.42x = 2,152,567.75
  5. Step 5: Solve for x
    x = 2,152,567.75/1,395.42
  6. Step 6: Final answer
    x = 1,542.59

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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.