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Finding the Fourth Proportional to 1,328.40, 1,979.64 and 1,302.48

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Solution

The fourth proportional to 1,328.40, 1,979.64 and 1,302.48 is: 1,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.40 : 1,979.64 = 1,302.48 : x
  2. Step 2: Convert to fraction form
    1,328.40/1,979.64 = 1,302.48/x
  3. Step 3: Cross multiply
    1,328.40x = 1,979.64 × 1,302.48
  4. Step 4: Simplify right side
    1,328.40x = 2,578,441.51
  5. Step 5: Solve for x
    x = 2,578,441.51/1,328.40
  6. Step 6: Final answer
    x = 1,941.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.