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Finding the Fourth Proportional to 1,686.36, 2,325.36 and 1,463.40

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Solution

The fourth proportional to 1,686.36, 2,325.36 and 1,463.40 is: 2,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.36 : 2,325.36 = 1,463.40 : x
  2. Step 2: Convert to fraction form
    1,686.36/2,325.36 = 1,463.40/x
  3. Step 3: Cross multiply
    1,686.36x = 2,325.36 × 1,463.40
  4. Step 4: Simplify right side
    1,686.36x = 3,402,931.82
  5. Step 5: Solve for x
    x = 3,402,931.82/1,686.36
  6. Step 6: Final answer
    x = 2,017.92

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1.5x scale

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.