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Finding the Fourth Proportional to 1,604.84, 2,214.02 and 975.13

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Solution

The fourth proportional to 1,604.84, 2,214.02 and 975.13 is: 1,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.84 : 2,214.02 = 975.13 : x
  2. Step 2: Convert to fraction form
    1,604.84/2,214.02 = 975.13/x
  3. Step 3: Cross multiply
    1,604.84x = 2,214.02 × 975.13
  4. Step 4: Simplify right side
    1,604.84x = 2,158,954.23
  5. Step 5: Solve for x
    x = 2,158,954.23/1,604.84
  6. Step 6: Final answer
    x = 1,345.28

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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.