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Finding the Fourth Proportional to 1,417.02, 2,125.64 and 595.84

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Solution

The fourth proportional to 1,417.02, 2,125.64 and 595.84 is: 893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.02 : 2,125.64 = 595.84 : x
  2. Step 2: Convert to fraction form
    1,417.02/2,125.64 = 595.84/x
  3. Step 3: Cross multiply
    1,417.02x = 2,125.64 × 595.84
  4. Step 4: Simplify right side
    1,417.02x = 1,266,541.34
  5. Step 5: Solve for x
    x = 1,266,541.34/1,417.02
  6. Step 6: Final answer
    x = 893.81

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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.