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Finding the Fourth Proportional to 1,595.86, 2,393.35 and 1,009.98

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Solution

The fourth proportional to 1,595.86, 2,393.35 and 1,009.98 is: 1,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.86 : 2,393.35 = 1,009.98 : x
  2. Step 2: Convert to fraction form
    1,595.86/2,393.35 = 1,009.98/x
  3. Step 3: Cross multiply
    1,595.86x = 2,393.35 × 1,009.98
  4. Step 4: Simplify right side
    1,595.86x = 2,417,235.63
  5. Step 5: Solve for x
    x = 2,417,235.63/1,595.86
  6. Step 6: Final answer
    x = 1,514.69

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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.