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Finding the Fourth Proportional to 1,586.98, 2,384.07 and 1,368.28

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Solution

The fourth proportional to 1,586.98, 2,384.07 and 1,368.28 is: 2,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.98 : 2,384.07 = 1,368.28 : x
  2. Step 2: Convert to fraction form
    1,586.98/2,384.07 = 1,368.28/x
  3. Step 3: Cross multiply
    1,586.98x = 2,384.07 × 1,368.28
  4. Step 4: Simplify right side
    1,586.98x = 3,262,075.30
  5. Step 5: Solve for x
    x = 3,262,075.30/1,586.98
  6. Step 6: Final answer
    x = 2,055.52

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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.