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Finding the Fourth Proportional to 1,296.48, 1,946.08 and 973.44

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Solution

The fourth proportional to 1,296.48, 1,946.08 and 973.44 is: 1,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.48 : 1,946.08 = 973.44 : x
  2. Step 2: Convert to fraction form
    1,296.48/1,946.08 = 973.44/x
  3. Step 3: Cross multiply
    1,296.48x = 1,946.08 × 973.44
  4. Step 4: Simplify right side
    1,296.48x = 1,894,392.12
  5. Step 5: Solve for x
    x = 1,894,392.12/1,296.48
  6. Step 6: Final answer
    x = 1,461.18

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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.