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Finding the Fourth Proportional to 1,506.84, 2,264.72 and 1,248.50

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Solution

The fourth proportional to 1,506.84, 2,264.72 and 1,248.50 is: 1,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.84 : 2,264.72 = 1,248.50 : x
  2. Step 2: Convert to fraction form
    1,506.84/2,264.72 = 1,248.50/x
  3. Step 3: Cross multiply
    1,506.84x = 2,264.72 × 1,248.50
  4. Step 4: Simplify right side
    1,506.84x = 2,827,485.35
  5. Step 5: Solve for x
    x = 2,827,485.35/1,506.84
  6. Step 6: Final answer
    x = 1,876.43

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1.5x scale

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.