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Finding the Fourth Proportional to 1,562.09, 2,155.68 and 853.91

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Solution

The fourth proportional to 1,562.09, 2,155.68 and 853.91 is: 1,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.09 : 2,155.68 = 853.91 : x
  2. Step 2: Convert to fraction form
    1,562.09/2,155.68 = 853.91/x
  3. Step 3: Cross multiply
    1,562.09x = 2,155.68 × 853.91
  4. Step 4: Simplify right side
    1,562.09x = 1,840,762.10
  5. Step 5: Solve for x
    x = 1,840,762.10/1,562.09
  6. Step 6: Final answer
    x = 1,178.40

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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.