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Finding the Fourth Proportional to 1,582.56, 2,373.48 and 595.32

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Solution

The fourth proportional to 1,582.56, 2,373.48 and 595.32 is: 892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.56 : 2,373.48 = 595.32 : x
  2. Step 2: Convert to fraction form
    1,582.56/2,373.48 = 595.32/x
  3. Step 3: Cross multiply
    1,582.56x = 2,373.48 × 595.32
  4. Step 4: Simplify right side
    1,582.56x = 1,412,980.11
  5. Step 5: Solve for x
    x = 1,412,980.11/1,582.56
  6. Step 6: Final answer
    x = 892.84

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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.