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Finding the Fourth Proportional to 1,582.99, 2,184.98 and 919.72

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Solution

The fourth proportional to 1,582.99, 2,184.98 and 919.72 is: 1,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.99 : 2,184.98 = 919.72 : x
  2. Step 2: Convert to fraction form
    1,582.99/2,184.98 = 919.72/x
  3. Step 3: Cross multiply
    1,582.99x = 2,184.98 × 919.72
  4. Step 4: Simplify right side
    1,582.99x = 2,009,567.94
  5. Step 5: Solve for x
    x = 2,009,567.94/1,582.99
  6. Step 6: Final answer
    x = 1,269.47

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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.