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Finding the Fourth Proportional to 1,582.40, 2,373.32 and 427.88

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Solution

The fourth proportional to 1,582.40, 2,373.32 and 427.88 is: 641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.40 : 2,373.32 = 427.88 : x
  2. Step 2: Convert to fraction form
    1,582.40/2,373.32 = 427.88/x
  3. Step 3: Cross multiply
    1,582.40x = 2,373.32 × 427.88
  4. Step 4: Simplify right side
    1,582.40x = 1,015,482.16
  5. Step 5: Solve for x
    x = 1,015,482.16/1,582.40
  6. Step 6: Final answer
    x = 641.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.