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Finding the Fourth Proportional to 1,917.34, 2,875.85 and 530.57

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Solution

The fourth proportional to 1,917.34, 2,875.85 and 530.57 is: 795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.34 : 2,875.85 = 530.57 : x
  2. Step 2: Convert to fraction form
    1,917.34/2,875.85 = 530.57/x
  3. Step 3: Cross multiply
    1,917.34x = 2,875.85 × 530.57
  4. Step 4: Simplify right side
    1,917.34x = 1,525,837.08
  5. Step 5: Solve for x
    x = 1,525,837.08/1,917.34
  6. Step 6: Final answer
    x = 795.81

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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.