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Finding the Fourth Proportional to 1,707.14, 2,558.35 and 975.17

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Solution

The fourth proportional to 1,707.14, 2,558.35 and 975.17 is: 1,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.14 : 2,558.35 = 975.17 : x
  2. Step 2: Convert to fraction form
    1,707.14/2,558.35 = 975.17/x
  3. Step 3: Cross multiply
    1,707.14x = 2,558.35 × 975.17
  4. Step 4: Simplify right side
    1,707.14x = 2,494,833.78
  5. Step 5: Solve for x
    x = 2,494,833.78/1,707.14
  6. Step 6: Final answer
    x = 1,461.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.