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Finding the Fourth Proportional to 1,699.64, 2,345.70 and 1,001

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Solution

The fourth proportional to 1,699.64, 2,345.70 and 1,001 is: 1,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.64 : 2,345.70 = 1,001 : x
  2. Step 2: Convert to fraction form
    1,699.64/2,345.70 = 1,001/x
  3. Step 3: Cross multiply
    1,699.64x = 2,345.70 × 1,001
  4. Step 4: Simplify right side
    1,699.64x = 2,348,045.70
  5. Step 5: Solve for x
    x = 2,348,045.70/1,699.64
  6. Step 6: Final answer
    x = 1,381.50

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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.