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Finding the Fourth Proportional to 1,417.44, 2,126.73 and 686.94

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Solution

The fourth proportional to 1,417.44, 2,126.73 and 686.94 is: 1,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.44 : 2,126.73 = 686.94 : x
  2. Step 2: Convert to fraction form
    1,417.44/2,126.73 = 686.94/x
  3. Step 3: Cross multiply
    1,417.44x = 2,126.73 × 686.94
  4. Step 4: Simplify right side
    1,417.44x = 1,460,935.91
  5. Step 5: Solve for x
    x = 1,460,935.91/1,417.44
  6. Step 6: Final answer
    x = 1,030.69

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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.