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Finding the Fourth Proportional to 1,835, 2,532.30 and 1,007

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Solution

The fourth proportional to 1,835, 2,532.30 and 1,007 is: 1,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835 : 2,532.30 = 1,007 : x
  2. Step 2: Convert to fraction form
    1,835/2,532.30 = 1,007/x
  3. Step 3: Cross multiply
    1,835x = 2,532.30 × 1,007
  4. Step 4: Simplify right side
    1,835x = 2,550,026.10
  5. Step 5: Solve for x
    x = 2,550,026.10/1,835
  6. Step 6: Final answer
    x = 1,389.66

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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.