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Finding the Fourth Proportional to 1,590.14, 2,384.67 and 1,034.50

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Solution

The fourth proportional to 1,590.14, 2,384.67 and 1,034.50 is: 1,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.14 : 2,384.67 = 1,034.50 : x
  2. Step 2: Convert to fraction form
    1,590.14/2,384.67 = 1,034.50/x
  3. Step 3: Cross multiply
    1,590.14x = 2,384.67 × 1,034.50
  4. Step 4: Simplify right side
    1,590.14x = 2,466,941.12
  5. Step 5: Solve for x
    x = 2,466,941.12/1,590.14
  6. Step 6: Final answer
    x = 1,551.40

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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.