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Finding the Fourth Proportional to 1,590, 2,385 and 678

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Solution

The fourth proportional to 1,590, 2,385 and 678 is: 1,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590 : 2,385 = 678 : x
  2. Step 2: Convert to fraction form
    1,590/2,385 = 678/x
  3. Step 3: Cross multiply
    1,590x = 2,385 × 678
  4. Step 4: Simplify right side
    1,590x = 1,617,030
  5. Step 5: Solve for x
    x = 1,617,030/1,590
  6. Step 6: Final answer
    x = 1,017

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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.