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Finding the Fourth Proportional to 1,417.86, 2,125.35 and 596.64

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Solution

The fourth proportional to 1,417.86, 2,125.35 and 596.64 is: 894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.86 : 2,125.35 = 596.64 : x
  2. Step 2: Convert to fraction form
    1,417.86/2,125.35 = 596.64/x
  3. Step 3: Cross multiply
    1,417.86x = 2,125.35 × 596.64
  4. Step 4: Simplify right side
    1,417.86x = 1,268,068.82
  5. Step 5: Solve for x
    x = 1,268,068.82/1,417.86
  6. Step 6: Final answer
    x = 894.35

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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.