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Finding the Fourth Proportional to 1,302.84, 1,951.48 and 1,054.98

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Solution

The fourth proportional to 1,302.84, 1,951.48 and 1,054.98 is: 1,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.84 : 1,951.48 = 1,054.98 : x
  2. Step 2: Convert to fraction form
    1,302.84/1,951.48 = 1,054.98/x
  3. Step 3: Cross multiply
    1,302.84x = 1,951.48 × 1,054.98
  4. Step 4: Simplify right side
    1,302.84x = 2,058,772.37
  5. Step 5: Solve for x
    x = 2,058,772.37/1,302.84
  6. Step 6: Final answer
    x = 1,580.22

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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.