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Finding the Fourth Proportional to 1,416.84, 1,956.08 and 975.40

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Solution

The fourth proportional to 1,416.84, 1,956.08 and 975.40 is: 1,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.84 : 1,956.08 = 975.40 : x
  2. Step 2: Convert to fraction form
    1,416.84/1,956.08 = 975.40/x
  3. Step 3: Cross multiply
    1,416.84x = 1,956.08 × 975.40
  4. Step 4: Simplify right side
    1,416.84x = 1,907,960.43
  5. Step 5: Solve for x
    x = 1,907,960.43/1,416.84
  6. Step 6: Final answer
    x = 1,346.63

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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.