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Finding the Fourth Proportional to 1,697.99, 2,343.65 and 1,035.40

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Solution

The fourth proportional to 1,697.99, 2,343.65 and 1,035.40 is: 1,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.99 : 2,343.65 = 1,035.40 : x
  2. Step 2: Convert to fraction form
    1,697.99/2,343.65 = 1,035.40/x
  3. Step 3: Cross multiply
    1,697.99x = 2,343.65 × 1,035.40
  4. Step 4: Simplify right side
    1,697.99x = 2,426,615.21
  5. Step 5: Solve for x
    x = 2,426,615.21/1,697.99
  6. Step 6: Final answer
    x = 1,429.11

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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.