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Finding the Fourth Proportional to 1,580.36, 2,371.59 and 554.36

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Solution

The fourth proportional to 1,580.36, 2,371.59 and 554.36 is: 831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.36 : 2,371.59 = 554.36 : x
  2. Step 2: Convert to fraction form
    1,580.36/2,371.59 = 554.36/x
  3. Step 3: Cross multiply
    1,580.36x = 2,371.59 × 554.36
  4. Step 4: Simplify right side
    1,580.36x = 1,314,702.77
  5. Step 5: Solve for x
    x = 1,314,702.77/1,580.36
  6. Step 6: Final answer
    x = 831.90

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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.