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Finding the Fourth Proportional to 1,417.91, 1,955.54 and 1,087.12

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Solution

The fourth proportional to 1,417.91, 1,955.54 and 1,087.12 is: 1,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.91 : 1,955.54 = 1,087.12 : x
  2. Step 2: Convert to fraction form
    1,417.91/1,955.54 = 1,087.12/x
  3. Step 3: Cross multiply
    1,417.91x = 1,955.54 × 1,087.12
  4. Step 4: Simplify right side
    1,417.91x = 2,125,911.81
  5. Step 5: Solve for x
    x = 2,125,911.81/1,417.91
  6. Step 6: Final answer
    x = 1,499.33

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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.