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Finding the Fourth Proportional to 1,924.64, 2,888.40 and 692.06

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Solution

The fourth proportional to 1,924.64, 2,888.40 and 692.06 is: 1,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.64 : 2,888.40 = 692.06 : x
  2. Step 2: Convert to fraction form
    1,924.64/2,888.40 = 692.06/x
  3. Step 3: Cross multiply
    1,924.64x = 2,888.40 × 692.06
  4. Step 4: Simplify right side
    1,924.64x = 1,998,946.10
  5. Step 5: Solve for x
    x = 1,998,946.10/1,924.64
  6. Step 6: Final answer
    x = 1,038.61

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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.