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Finding the Fourth Proportional to 1,699.65, 2,551.19 and 1,007.01

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Solution

The fourth proportional to 1,699.65, 2,551.19 and 1,007.01 is: 1,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.65 : 2,551.19 = 1,007.01 : x
  2. Step 2: Convert to fraction form
    1,699.65/2,551.19 = 1,007.01/x
  3. Step 3: Cross multiply
    1,699.65x = 2,551.19 × 1,007.01
  4. Step 4: Simplify right side
    1,699.65x = 2,569,068.81
  5. Step 5: Solve for x
    x = 2,569,068.81/1,699.65
  6. Step 6: Final answer
    x = 1,511.53

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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.