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Finding the Fourth Proportional to 1,417.68, 1,959.12 and 1,155.60

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Solution

The fourth proportional to 1,417.68, 1,959.12 and 1,155.60 is: 1,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.68 : 1,959.12 = 1,155.60 : x
  2. Step 2: Convert to fraction form
    1,417.68/1,959.12 = 1,155.60/x
  3. Step 3: Cross multiply
    1,417.68x = 1,959.12 × 1,155.60
  4. Step 4: Simplify right side
    1,417.68x = 2,263,959.07
  5. Step 5: Solve for x
    x = 2,263,959.07/1,417.68
  6. Step 6: Final answer
    x = 1,596.95

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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.