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Finding the Fourth Proportional to 1,566.41, 2,349.95 and 974.16

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Solution

The fourth proportional to 1,566.41, 2,349.95 and 974.16 is: 1,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.41 : 2,349.95 = 974.16 : x
  2. Step 2: Convert to fraction form
    1,566.41/2,349.95 = 974.16/x
  3. Step 3: Cross multiply
    1,566.41x = 2,349.95 × 974.16
  4. Step 4: Simplify right side
    1,566.41x = 2,289,222.42
  5. Step 5: Solve for x
    x = 2,289,222.42/1,566.41
  6. Step 6: Final answer
    x = 1,461.45

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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.