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Finding the Fourth Proportional to 1,417.66, 2,126.04 and 983.50

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Solution

The fourth proportional to 1,417.66, 2,126.04 and 983.50 is: 1,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.66 : 2,126.04 = 983.50 : x
  2. Step 2: Convert to fraction form
    1,417.66/2,126.04 = 983.50/x
  3. Step 3: Cross multiply
    1,417.66x = 2,126.04 × 983.50
  4. Step 4: Simplify right side
    1,417.66x = 2,090,960.34
  5. Step 5: Solve for x
    x = 2,090,960.34/1,417.66
  6. Step 6: Final answer
    x = 1,474.94

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Why These Related Problems?

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