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Finding the Fourth Proportional to 1,707.85, 2,356.30 and 1,043.99

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Solution

The fourth proportional to 1,707.85, 2,356.30 and 1,043.99 is: 1,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.85 : 2,356.30 = 1,043.99 : x
  2. Step 2: Convert to fraction form
    1,707.85/2,356.30 = 1,043.99/x
  3. Step 3: Cross multiply
    1,707.85x = 2,356.30 × 1,043.99
  4. Step 4: Simplify right side
    1,707.85x = 2,459,953.64
  5. Step 5: Solve for x
    x = 2,459,953.64/1,707.85
  6. Step 6: Final answer
    x = 1,440.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.