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Finding the Fourth Proportional to 1,590.04, 2,195.02 and 1,059.81

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Solution

The fourth proportional to 1,590.04, 2,195.02 and 1,059.81 is: 1,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.04 : 2,195.02 = 1,059.81 : x
  2. Step 2: Convert to fraction form
    1,590.04/2,195.02 = 1,059.81/x
  3. Step 3: Cross multiply
    1,590.04x = 2,195.02 × 1,059.81
  4. Step 4: Simplify right side
    1,590.04x = 2,326,304.15
  5. Step 5: Solve for x
    x = 2,326,304.15/1,590.04
  6. Step 6: Final answer
    x = 1,463.05

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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.